Pith Number

pith:J3JZGSNF

pith:2019:J3JZGSNFWQEHWNNA4222OIRCCY

not attested not anchored not stored refs pending

Geometry of twisted K\"ahler-Einstein metrics and collapsing

Mark Gross, Valentino Tosatti, Yuguang Zhang

arxiv:1911.07315 v2 · 2019-11-17 · math.DG · math.AG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3JZGSNFWQEHWNNA4222OIRCCY}

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.

Receipt and verification

First computed	2026-07-05T01:53:36.478218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed39349a5b4087b35a0e6b5a7222216224a4d4a887b8c7125111e0f68b2b9d0

Aliases

arxiv: 1911.07315 · arxiv_version: 1911.07315v2 · doi: 10.48550/arxiv.1911.07315 · pith_short_12: J3JZGSNFWQEH · pith_short_16: J3JZGSNFWQEHWNNA · pith_short_8: J3JZGSNF

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/J3JZGSNFWQEHWNNA4222OIRCCY \
  | 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: 4ed39349a5b4087b35a0e6b5a7222216224a4d4a887b8c7125111e0f68b2b9d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fc6453ccc79995be884ed0c290ed3f70adb55dfc3bd121875c0539b800864f4",
    "cross_cats_sorted": [
      "math.AG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-11-17T18:33:10Z",
    "title_canon_sha256": "b445361ff6675e12b56ca299ff5ed5175fc919cbb03a089a9ab7fd419878031a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.07315",
    "kind": "arxiv",
    "version": 2
  }
}