Pith Number

pith:VQFI22D2

pith:2009:VQFI22D23GREA7GAP32UIPLMZJ

not attested not anchored not stored refs pending

Uniqueness of enhancement for triangulated categories

Dmitri O. Orlov, Valery A. Lunts

arxiv:0908.4187 v5 · 2009-08-28 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQFI22D23GREA7GAP32UIPLMZJ}

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	2026-05-18T03:45:32.240098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac0a8d687ad9a2407cc07ef5443d6cca6c7212c97f62faed68644c30ac52b68f

Aliases

arxiv: 0908.4187 · arxiv_version: 0908.4187v5 · doi: 10.48550/arxiv.0908.4187 · pith_short_12: VQFI22D23GRE · pith_short_16: VQFI22D23GREA7GA · pith_short_8: VQFI22D2

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/VQFI22D23GREA7GAP32UIPLMZJ \
  | 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: ac0a8d687ad9a2407cc07ef5443d6cca6c7212c97f62faed68644c30ac52b68f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e665daf1ea01146243b02ee9f19558e4de30895c46480205605ddd1edc8e6fb3",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-08-28T11:08:04Z",
    "title_canon_sha256": "26cd1949d8e38a70748216da163f9e3f3b630762b7d86572527bd510c5fb4d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4187",
    "kind": "arxiv",
    "version": 5
  }
}