Pith Number

pith:JCCDQUUJ

pith:2013:JCCDQUUJ4IO2EZNIIWJKDD2MFG

not attested not anchored not stored refs pending

Sheaf Representations for Algebraic Systems. A personal historical account

Klaus Keimel

arxiv:1308.6249 v1 · 2013-08-28 · math.HO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCCDQUUJ4IO2EZNIIWJKDD2MFG}

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	2026-05-18T03:14:40.423659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4884385289e21da265a84592a18f4c2982a8d124e9edbc57cccc4ef0d0133b6e

Aliases

arxiv: 1308.6249 · arxiv_version: 1308.6249v1 · doi: 10.48550/arxiv.1308.6249 · pith_short_12: JCCDQUUJ4IO2 · pith_short_16: JCCDQUUJ4IO2EZNI · pith_short_8: JCCDQUUJ

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/JCCDQUUJ4IO2EZNIIWJKDD2MFG \
  | 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: 4884385289e21da265a84592a18f4c2982a8d124e9edbc57cccc4ef0d0133b6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33d1bffe1565f59a75bf420edf75abb8dcdc61ce3d408b20035790c378e2038f",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-08-28T18:51:24Z",
    "title_canon_sha256": "ece715d3b71c28f52736437ec7736c5d4ebd9cebb476a04869b1e9afd4cadbdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6249",
    "kind": "arxiv",
    "version": 1
  }
}