Pith Number

pith:E3Q2MB2J

pith:2026:E3Q2MB2JIDW33DKKVDXMJ7FHSP

not attested not anchored not stored refs pending

Point Singularities and Local Third Chern Classes for Rank-Two Torsion-free Sheaves on Threefolds

Xuemiao Chen

arxiv:2607.01402 v1 · 2026-07-01 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3Q2MB2JIDW33DKKVDXMJ7FHSP}

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	2026-07-03T00:16:59.400630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26e1a6074940edbd8d4aa8eec4fca793f12bc36feab745ca7b9e52d4c7d09ca7

Aliases

arxiv: 2607.01402 · arxiv_version: 2607.01402v1 · doi: 10.48550/arxiv.2607.01402 · pith_short_12: E3Q2MB2JIDW3 · pith_short_16: E3Q2MB2JIDW33DKK · pith_short_8: E3Q2MB2J

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/E3Q2MB2JIDW33DKKVDXMJ7FHSP \
  | 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: 26e1a6074940edbd8d4aa8eec4fca793f12bc36feab745ca7b9e52d4c7d09ca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c843d3245fe6f14239e3c44aa4b9a3fb1a6d9e5f51c7a941d8a2e7fc75b23314",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-01T19:07:28Z",
    "title_canon_sha256": "531daae0db22004dbbee7e99629c9af3905ed6e934070d4f81e7e0adaac4261b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01402",
    "kind": "arxiv",
    "version": 1
  }
}