Pith Number

pith:QWNV67H5

pith:2002:QWNV67H5KNB5S2PVOTF2L6AZ3T

not attested not anchored not stored refs pending

A norm for the cohomology of 2-complexes

Vladimir Turaev

arxiv:math/0203042 v1 · 2002-03-05 · math.AT · 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{QWNV67H5KNB5S2PVOTF2L6AZ3T}

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	2026-05-18T02:41:33.092439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859b5f7cfd5343d969f574cba5f819dcd431c0dfee4d0733259050b9e1fb5bc0

Aliases

arxiv: math/0203042 · arxiv_version: math/0203042v1 · doi: 10.48550/arxiv.math/0203042 · pith_short_12: QWNV67H5KNB5 · pith_short_16: QWNV67H5KNB5S2PV · pith_short_8: QWNV67H5

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/QWNV67H5KNB5S2PVOTF2L6AZ3T \
  | 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: 859b5f7cfd5343d969f574cba5f819dcd431c0dfee4d0733259050b9e1fb5bc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df3ef8721f09009655eb87bf73113122529dd5257acdcf655a55d6bb89a4fbe0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2002-03-05T14:14:01Z",
    "title_canon_sha256": "d833b38be0792f24c4a65f81c1f2ebe8658e5e89b977655fea518ae52fceb951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203042",
    "kind": "arxiv",
    "version": 1
  }
}