Pith Number

pith:TXITVVCK

pith:2007:TXITVVCKKLEY77PQVBL2JXU2CM

not attested not anchored not stored refs pending

Triangulated categories without models

Fernando Muro, Neil Strickland, Stefan Schwede

arxiv:0704.1378 v2 · 2007-04-11 · math.AT · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXITVVCKKLEY77PQVBL2JXU2CM}

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	2026-05-18T04:09:24.183567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dd13ad44a52c98ffdf0a857a4de9a133483e614259a49f23fa18af26c2ca85a

Aliases

arxiv: 0704.1378 · arxiv_version: 0704.1378v2 · doi: 10.48550/arxiv.0704.1378 · pith_short_12: TXITVVCKKLEY · pith_short_16: TXITVVCKKLEY77PQ · pith_short_8: TXITVVCK

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/TXITVVCKKLEY77PQVBL2JXU2CM \
  | 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: 9dd13ad44a52c98ffdf0a857a4de9a133483e614259a49f23fa18af26c2ca85a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf8bf660b3a8d385e01184887fc4b128be5238bb0a9e0c74f7bdde79a11e4d4",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-04-11T09:08:03Z",
    "title_canon_sha256": "5a8fa1728c2a9c9ea547e4395330ebe5367fe8a30106072b5260efccf2561e3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.1378",
    "kind": "arxiv",
    "version": 2
  }
}