Pith Number

pith:72UC4YWU

pith:2014:72UC4YWULDJNQTZHL52OAE7M7T

not attested not anchored not stored refs pending

Ternary Distributive Structures and Quandles

Abdenacer Makhlouf, Matthew Green, Mohamed Elhamdadi

arxiv:1403.7099 v1 · 2014-03-27 · math.QA · math.GT · 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{72UC4YWULDJNQTZHL52OAE7M7T}

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	2026-05-18T02:55:26.525042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea82e62d458d2d84f275f74e013ecfcf5c267fda04262801b8b16f78b623044

Aliases

arxiv: 1403.7099 · arxiv_version: 1403.7099v1 · doi: 10.48550/arxiv.1403.7099 · pith_short_12: 72UC4YWULDJN · pith_short_16: 72UC4YWULDJNQTZH · pith_short_8: 72UC4YWU

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/72UC4YWULDJNQTZHL52OAE7M7T \
  | 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: fea82e62d458d2d84f275f74e013ecfcf5c267fda04262801b8b16f78b623044

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8f010253ebbd7ad75dbb11ad073eed8fd8e13a55a0a41b139ee4e7c53839eea",
    "cross_cats_sorted": [
      "math.GT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-03-27T15:51:48Z",
    "title_canon_sha256": "678861dcf4b6b186304250a286120bae43eacca110d2047b909295cf341d08a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7099",
    "kind": "arxiv",
    "version": 1
  }
}