Pith Number

pith:W5XU2MUV

pith:2007:W5XU2MUVT2DQP5NSLTNM2AFGPO

not attested not anchored not stored refs pending

Cohomology algebra of plane curves, weak combinatorial type, and formality

D.Matei, J.I.Cogolludo-Agustin

arxiv:0711.1951 v2 · 2007-11-13 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5XU2MUVT2DQP5NSLTNM2AFGPO}

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	2026-05-18T04:35:55.427871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b76f4d32959e8707f5b25cdacd00a67bb9cca656fb9802689c02bd2b27019ee3

Aliases

arxiv: 0711.1951 · arxiv_version: 0711.1951v2 · doi: 10.48550/arxiv.0711.1951 · pith_short_12: W5XU2MUVT2DQ · pith_short_16: W5XU2MUVT2DQP5NS · pith_short_8: W5XU2MUV

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/W5XU2MUVT2DQP5NSLTNM2AFGPO \
  | 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: b76f4d32959e8707f5b25cdacd00a67bb9cca656fb9802689c02bd2b27019ee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af80d8d6c8a1f49312f4f6572220593217fde8f992658050a2506028df3fef09",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-11-13T11:24:45Z",
    "title_canon_sha256": "114433de3dbe0d53e637a7a537bfb15567549ada30aa45ef1f58da73c8dd738b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1951",
    "kind": "arxiv",
    "version": 2
  }
}