Pith Number

pith:PAH6NMRV

pith:2012:PAH6NMRVBDES5R235XOQZTU676

not attested not anchored not stored refs pending

*-Structures on Module-Algebras

Matthew Tucker-Simmons

arxiv:1211.6652 v2 · 2012-11-28 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAH6NMRVBDES5R235XOQZTU676}

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	2026-05-18T03:39:06.060227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780fe6b23508c92ec75beddd0cce9eff95f8e150c40a6b34da38c7decc0a3c4d

Aliases

arxiv: 1211.6652 · arxiv_version: 1211.6652v2 · doi: 10.48550/arxiv.1211.6652 · pith_short_12: PAH6NMRVBDES · pith_short_16: PAH6NMRVBDES5R23 · pith_short_8: PAH6NMRV

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/PAH6NMRVBDES5R235XOQZTU676 \
  | 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: 780fe6b23508c92ec75beddd0cce9eff95f8e150c40a6b34da38c7decc0a3c4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eec94ef6fb7c3c215342332328bbd74012a1c30bd0097bcf22046bd4c43cc45",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-11-28T16:49:55Z",
    "title_canon_sha256": "f05cb9e69da2b207d70df10e8ceb1c18311dda17050b5ac761d74da6046bb8f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6652",
    "kind": "arxiv",
    "version": 2
  }
}