Pith Number

pith:6TY746JX

pith:2010:6TY746JXOT5GRRFYMBKLRLUB3U

not attested not anchored not stored refs pending

Hodge-type structures as link invariants

Andras Nemethi, Maciej Borodzik

arxiv:1005.2084 v2 · 2010-05-12 · math.GT · 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{6TY746JXOT5GRRFYMBKLRLUB3U}

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	2026-05-18T04:21:22.822688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4f1fe793774fa68c4b86054b8ae81dd0c3ffe9477f034e2947061f4b645a7d1

Aliases

arxiv: 1005.2084 · arxiv_version: 1005.2084v2 · doi: 10.48550/arxiv.1005.2084 · pith_short_12: 6TY746JXOT5G · pith_short_16: 6TY746JXOT5GRRFY · pith_short_8: 6TY746JX

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/6TY746JXOT5GRRFYMBKLRLUB3U \
  | 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: f4f1fe793774fa68c4b86054b8ae81dd0c3ffe9477f034e2947061f4b645a7d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fb08f695d3ae5f32f6ebcc3c4e6a12a4c6b28d3c944fd98f20821824bdcea79",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-05-12T13:20:04Z",
    "title_canon_sha256": "0bb501e717c8e983e9138f463dbecc89ffe8eea2d0fecbb9ad523872609e0c58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2084",
    "kind": "arxiv",
    "version": 2
  }
}