Pith Number

pith:FY5O7OQE

pith:2013:FY5O7OQED3L2AP6XE6GRGDEP3G

not attested not anchored not stored refs pending

Crossed modules of racks

Alissa S. Crans, Friedrich Wagemann

arxiv:1310.4705 v2 · 2013-10-17 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FY5O7OQED3L2AP6XE6GRGDEP3G}

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	2026-05-18T02:55:11.014715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e3aefba041ed7a03fd7278d130c8fd9b3660b9e7aa1f5b5f4dd875e31f83516

Aliases

arxiv: 1310.4705 · arxiv_version: 1310.4705v2 · doi: 10.48550/arxiv.1310.4705 · pith_short_12: FY5O7OQED3L2 · pith_short_16: FY5O7OQED3L2AP6X · pith_short_8: FY5O7OQE

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/FY5O7OQED3L2AP6XE6GRGDEP3G \
  | 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: 2e3aefba041ed7a03fd7278d130c8fd9b3660b9e7aa1f5b5f4dd875e31f83516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ab6a64c2d5d971401c3f93533b3aa4c37047e851339ce2338a8569b0765ba4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-10-17T14:02:16Z",
    "title_canon_sha256": "39955ab097fc00902eeb4236402146b999d7ad8d16f04fe3101b5db6b4921faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4705",
    "kind": "arxiv",
    "version": 2
  }
}