Pith Number

pith:5PLKKDRI

pith:2007:5PLKKDRIRWV6MMLW47S3S55LF5

not attested not anchored not stored refs pending

String topology for stacks

Behrang Noohi, Gr\'egory Ginot, Kai Behrend, Ping Xu

arxiv:0712.3857 v2 · 2007-12-22 · math.AT · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PLKKDRIRWV6MMLW47S3S55LF5}

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.

Cited by

1 paper in Pith

Categorical Symmetries via Operator Algebras

Receipt and verification

First computed	2026-05-18T04:32:09.705433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd6a50e288dabe63176e7e5b977ab2f74874b77e65ec6701ce4a35a6399f9c8

Aliases

arxiv: 0712.3857 · arxiv_version: 0712.3857v2 · doi: 10.48550/arxiv.0712.3857 · pith_short_12: 5PLKKDRIRWV6 · pith_short_16: 5PLKKDRIRWV6MMLW · pith_short_8: 5PLKKDRI

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/5PLKKDRIRWV6MMLW47S3S55LF5 \
  | 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: ebd6a50e288dabe63176e7e5b977ab2f74874b77e65ec6701ce4a35a6399f9c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edde304befd36872e8cc75ea7f2d161ab26aea167eb6005fd61c586bf33b9393",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-12-22T13:34:16Z",
    "title_canon_sha256": "ccd0e4c7a0730b618496429094b81deac53a2730c4f66ac78a2f4d8a596d602e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3857",
    "kind": "arxiv",
    "version": 2
  }
}