Pith Number

pith:KHY2R2Z3

pith:2013:KHY2R2Z3JY7IXUN5GGZAFGDJTW

not attested not anchored not stored refs pending

Hopf Semialgebras

Jawad Abuhlail, Nabeela Alsulaiman

arxiv:1304.6042 v1 · 2013-04-22 · math.RA · 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{KHY2R2Z3JY7IXUN5GGZAFGDJTW}

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	2026-05-18T03:27:23.493598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f1a8eb3b4e3e8bd1bd31b20298699da92c5bfad6aad6eb1c6b16dc17000289

Aliases

arxiv: 1304.6042 · arxiv_version: 1304.6042v1 · doi: 10.48550/arxiv.1304.6042 · pith_short_12: KHY2R2Z3JY7I · pith_short_16: KHY2R2Z3JY7IXUN5 · pith_short_8: KHY2R2Z3

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/KHY2R2Z3JY7IXUN5GGZAFGDJTW \
  | 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: 51f1a8eb3b4e3e8bd1bd31b20298699da92c5bfad6aad6eb1c6b16dc17000289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b1836c1dab83c9d2fbbe6c5715b99aef1561e0f2f2a189df6225a807082526e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-04-22T18:14:45Z",
    "title_canon_sha256": "bd5be8588294ffca92ceaa0554b091a32f1265b91b04707073d254a9d34d3b94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6042",
    "kind": "arxiv",
    "version": 1
  }
}