Pith Number

pith:MVJ5Y3AJ

pith:2013:MVJ5Y3AJSJ2YED2Q5XWCVSJIRH

not attested not anchored not stored refs pending

A local-global principle for small triangulated categories

Dave Benson, Henning Krause, Srikanth B. Iyengar

arxiv:1305.1668 v2 · 2013-05-07 · math.CT · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVJ5Y3AJSJ2YED2Q5XWCVSJIRH}

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	2026-05-17T23:53:35.639699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6553dc6c099275820f50edec2ac92889ca1966c6aed09530316a79f46759eb87

Aliases

arxiv: 1305.1668 · arxiv_version: 1305.1668v2 · doi: 10.48550/arxiv.1305.1668 · pith_short_12: MVJ5Y3AJSJ2Y · pith_short_16: MVJ5Y3AJSJ2YED2Q · pith_short_8: MVJ5Y3AJ

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/MVJ5Y3AJSJ2YED2Q5XWCVSJIRH \
  | 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: 6553dc6c099275820f50edec2ac92889ca1966c6aed09530316a79f46759eb87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dc520ecc6292bd61c754b24a40fbf9b438b5f44f5aab098c1c729c17dc61624",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-05-07T22:22:57Z",
    "title_canon_sha256": "6942fe946aa6d84f44dd0b19501f2706c082c836579509e94b1b78794625a327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1668",
    "kind": "arxiv",
    "version": 2
  }
}