Pith Number

pith:P7AVKBR7

pith:2010:P7AVKBR74J5HKCN4E4BTRRJFOU

not attested not anchored not stored refs pending

$n$-angulated categories

Bernhard Keller, Christof Geiss, Steffen Oppermann

arxiv:1006.4592 v4 · 2010-06-23 · math.KT · math.RA · 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{P7AVKBR74J5HKCN4E4BTRRJFOU}

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	2026-05-17T23:40:50.230987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc155063fe27a7509bc270338c5257526f2223725dd59e054647c94d22adebc

Aliases

arxiv: 1006.4592 · arxiv_version: 1006.4592v4 · doi: 10.48550/arxiv.1006.4592 · pith_short_12: P7AVKBR74J5H · pith_short_16: P7AVKBR74J5HKCN4 · pith_short_8: P7AVKBR7

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/P7AVKBR74J5HKCN4E4BTRRJFOU \
  | 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: 7fc155063fe27a7509bc270338c5257526f2223725dd59e054647c94d22adebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3353a167442fe4728acb5babd70f1c8dd678e11d8a2216d294a4635a5a0b0e4b",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-06-23T17:19:05Z",
    "title_canon_sha256": "92fed32a0957b7cb3ad3642ca5f318784896bc119c75825fa6d00148c0b84574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4592",
    "kind": "arxiv",
    "version": 4
  }
}