Pith Number

pith:XUVDMC7Q

pith:2021:XUVDMC7Q7DNA6ZN6GDRVKR7ODK

not attested not anchored not stored refs pending

Collapsing geometry of hyperk\"ahler 4-manifolds and applications

Ruobing Zhang, Song Sun

arxiv:2108.12991 v2 · 2021-08-30 · math.DG · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUVDMC7Q7DNA6ZN6GDRVKR7ODK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

On toric self-dual Einstein gravitational instantons

Special Lagrangian submanifolds and circle collapse on K3

Receipt and verification

First computed	2026-07-05T05:28:59.538836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd2a360bf0f8da0f65be30e35547ee1aa957b0cb5eb06cdabd3bde789043a0fd

Aliases

arxiv: 2108.12991 · arxiv_version: 2108.12991v2 · doi: 10.48550/arxiv.2108.12991 · pith_short_12: XUVDMC7Q7DNA · pith_short_16: XUVDMC7Q7DNA6ZN6 · pith_short_8: XUVDMC7Q

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XUVDMC7Q7DNA6ZN6GDRVKR7ODK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bd2a360bf0f8da0f65be30e35547ee1aa957b0cb5eb06cdabd3bde789043a0fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2bcac865cb1a11d5f1c3b9a11e1bbe187aea2a5ecf6f63f4fbc39536141c39b",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-08-30T04:59:26Z",
    "title_canon_sha256": "66a1a25479e1af883af8e54c4293839bfa223fb5f763f9e48a6459e5a6b06083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.12991",
    "kind": "arxiv",
    "version": 2
  }
}