Pith Number

pith:FMMD5333

pith:2004:FMMD5333LGX2NKRDWFNHDY45VV

not attested not anchored not stored refs pending

Vanishing of the top Chern classes of the moduli of vector bundles

Jun Li, Young-Hoon Kiem

arxiv:math/0403033 v2 · 2004-03-02 · 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{FMMD5333LGX2NKRDWFNHDY45VV}

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	2026-07-04T14:38:16.758012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b183eef7b59afa6aa23b15a71e39dad718457c8a6cadea6e64782187027c555

Aliases

arxiv: math/0403033 · arxiv_version: math/0403033v2 · doi: 10.48550/arxiv.math/0403033 · pith_short_12: FMMD5333LGX2 · pith_short_16: FMMD5333LGX2NKRD · pith_short_8: FMMD5333

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/FMMD5333LGX2NKRDWFNHDY45VV \
  | 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: 2b183eef7b59afa6aa23b15a71e39dad718457c8a6cadea6e64782187027c555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f347e35cc5aec7516f96d7b661e9eb8359e4f22199aea9d96bc97b6147efdef2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-03-02T04:24:50Z",
    "title_canon_sha256": "05e8c501d8e78c4d435dcaba4cf6796a35611efa181c1ca44befe2d82674df86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403033",
    "kind": "arxiv",
    "version": 2
  }
}