Pith Number

pith:TTS3ABG3

pith:2002:TTS3ABG3G57WCRIVUTZJ7YKTWD

not attested not anchored not stored refs pending

Topological Field Theory Interpretation of String Topology

Alberto S. Cattaneo, Bill Pedrini, Juerg Froehlich

arxiv:math/0202176 v1 · 2002-02-18 · math.GT · hep-th · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTS3ABG3G57WCRIVUTZJ7YKTWD}

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	2026-07-04T16:35:03.045416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ce5b004db377f614515a4f29fe153b0c330708687798d8f8e4c4ed640f3ee72

Aliases

arxiv: math/0202176 · arxiv_version: math/0202176v1 · doi: 10.48550/arxiv.math/0202176 · pith_short_12: TTS3ABG3G57W · pith_short_16: TTS3ABG3G57WCRIV · pith_short_8: TTS3ABG3

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/TTS3ABG3G57WCRIVUTZJ7YKTWD \
  | 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: 9ce5b004db377f614515a4f29fe153b0c330708687798d8f8e4c4ed640f3ee72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a71b3ad5ffaeaf8e5c4804e8e08fc04e61abc5c2a13e35f8f9dc75c5391b3247",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-02-18T15:45:09Z",
    "title_canon_sha256": "442961d36179746f837b89eeb3789c41c8f3e1060874488c56e6ebc8d82ae07b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0202176",
    "kind": "arxiv",
    "version": 1
  }
}