Pith Number

pith:HL5BJWWZ

pith:2003:HL5BJWWZUILMX5JGDMSQZFKCBR

not attested not anchored not stored refs pending

Algebraic structures on graph cohomology

Alberto S. Cattaneo, Paolo Cotta-Ramusino, Riccardo Longoni

arxiv:math/0307218 v2 · 2003-07-16 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HL5BJWWZUILMX5JGDMSQZFKCBR}

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	2026-07-04T14:37:36.079727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3afa14dad9a216cbf5261b250c95420c53f4c24c3bd6b25af06446abb9a4572e

Aliases

arxiv: math/0307218 · arxiv_version: math/0307218v2 · doi: 10.48550/arxiv.math/0307218 · pith_short_12: HL5BJWWZUILM · pith_short_16: HL5BJWWZUILMX5JG · pith_short_8: HL5BJWWZ

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/HL5BJWWZUILMX5JGDMSQZFKCBR \
  | 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: 3afa14dad9a216cbf5261b250c95420c53f4c24c3bd6b25af06446abb9a4572e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67c330e37f0b0a68b6e16ba7b18a29d71ae80ece89493a5248492c452d503423",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-07-16T10:10:08Z",
    "title_canon_sha256": "376a8653d48994f99b342a334d52aeb1ad624846a602b9ce0d043d89f3829a1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307218",
    "kind": "arxiv",
    "version": 2
  }
}