Pith Number

pith:PC7XT6IX

pith:2012:PC7XT6IXH4KM6TOAZMYDESKWXG

not attested not anchored not stored refs pending

Completion by Derived Double Centralizer

Amnon Yekutieli, Liran Shaul, Marco Porta

arxiv:1207.0612 v2 · 2012-07-03 · math.AC · math.AG · 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{PC7XT6IXH4KM6TOAZMYDESKWXG}

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	2026-05-18T03:36:04.456025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78bf79f9173f14cf4dc0cb30324956b98e8864d8f0e897bdcee11056375f1b61

Aliases

arxiv: 1207.0612 · arxiv_version: 1207.0612v2 · doi: 10.48550/arxiv.1207.0612 · pith_short_12: PC7XT6IXH4KM · pith_short_16: PC7XT6IXH4KM6TOA · pith_short_8: PC7XT6IX

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/PC7XT6IXH4KM6TOAZMYDESKWXG \
  | 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: 78bf79f9173f14cf4dc0cb30324956b98e8864d8f0e897bdcee11056375f1b61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20db00e4c956b3c24110bbac59428f08cd5c037b566aff975667bdabf87b63e",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-07-03T09:04:52Z",
    "title_canon_sha256": "b1fa7353fa95804dbcb5f060cd915cf0156ad8d560a5f51d7ee879aa73410021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0612",
    "kind": "arxiv",
    "version": 2
  }
}