Pith Number

pith:VJGQAZY2

pith:2011:VJGQAZY253Q5OTE4VM45EV2PYK

not attested not anchored not stored refs pending

Topological Field Theories and Harrison Homology

Benjamin Cooper

arxiv:1102.3451 v3 · 2011-02-16 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJGQAZY253Q5OTE4VM45EV2PYK}

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	2026-05-18T02:03:10.168417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa4d00671aeee1d74c9cab39d2574fc29d3ea1ad85896700f5ecde3ddf385028

Aliases

arxiv: 1102.3451 · arxiv_version: 1102.3451v3 · doi: 10.48550/arxiv.1102.3451 · pith_short_12: VJGQAZY253Q5 · pith_short_16: VJGQAZY253Q5OTE4 · pith_short_8: VJGQAZY2

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/VJGQAZY253Q5OTE4VM45EV2PYK \
  | 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: aa4d00671aeee1d74c9cab39d2574fc29d3ea1ad85896700f5ecde3ddf385028

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "141ee6dce537e467cde0a4ca5bf70cdf22351211aedd215ebf8bf6d141ec4481",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-02-16T23:03:29Z",
    "title_canon_sha256": "e7e7ab03ce0133b33ed904f53d5b20a10b4cc431a054d902c4fb2b3b430b4dd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3451",
    "kind": "arxiv",
    "version": 3
  }
}