Pith Number

pith:7JKA3IAS

pith:2013:7JKA3IAS3HHRA75UU3EZRVMT55

not attested not anchored not stored refs pending

Partial Representations of Hopf Algebras

Eliezer Batista, Joost Vercruysse, Marcelo Muniz S. Alves

arxiv:1309.1659 v2 · 2013-09-06 · 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{7JKA3IAS3HHRA75UU3EZRVMT55}

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	2026-05-18T03:12:47.911399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa540da012d9cf107fb4a6c998d593ef5c47f3c6d5856e8e6028770260eb2e77

Aliases

arxiv: 1309.1659 · arxiv_version: 1309.1659v2 · doi: 10.48550/arxiv.1309.1659 · pith_short_12: 7JKA3IAS3HHR · pith_short_16: 7JKA3IAS3HHRA75U · pith_short_8: 7JKA3IAS

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/7JKA3IAS3HHRA75UU3EZRVMT55 \
  | 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: fa540da012d9cf107fb4a6c998d593ef5c47f3c6d5856e8e6028770260eb2e77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eb40cf8de3522ba9567e09abb7380490a03aab30529cbe387506e16e7b48fa6",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-09-06T14:46:16Z",
    "title_canon_sha256": "c9d350f5f51ecbe54b9e1108c703a1f3e8ee4518d04e6947eaf1ef2dd763e5e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1659",
    "kind": "arxiv",
    "version": 2
  }
}