Pith Number

pith:NMJFRQ2D

pith:2005:NMJFRQ2DZLFA3W7W2VV5NRQIBL

not attested not anchored not stored refs pending

The Generalized Hodge conjecture for 1-cycles and codimension two algebraic cycles

Wenchuan Hu

arxiv:math/0511725 v3 · 2005-11-30 · 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{NMJFRQ2DZLFA3W7W2VV5NRQIBL}

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	2026-07-04T14:51:45.647395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b1258c343caca0ddbf6d56bd6c6080ae00ee42b3badecb20fc9d9dfcaf8bdef

Aliases

arxiv: math/0511725 · arxiv_version: math/0511725v3 · doi: 10.48550/arxiv.math/0511725 · pith_short_12: NMJFRQ2DZLFA · pith_short_16: NMJFRQ2DZLFA3W7W · pith_short_8: NMJFRQ2D

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/NMJFRQ2DZLFA3W7W2VV5NRQIBL \
  | 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: 6b1258c343caca0ddbf6d56bd6c6080ae00ee42b3badecb20fc9d9dfcaf8bdef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0caff60da217d982939e9655e263976b0f877f584fa76ab22650525ce9192a52",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-11-30T01:47:10Z",
    "title_canon_sha256": "03d1a41b1f864538d5fe9cd009aab912b069ae710f7abf2911a1cd6fe4920f67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511725",
    "kind": "arxiv",
    "version": 3
  }
}