Pith Number

pith:WXJZTDBU

pith:2009:WXJZTDBUL4MXBKS3RJBQB246LL

not attested not anchored not stored refs pending

Categorical Constructions for Hopf Algebras

A.L. Agore

arxiv:0905.2613 v3 · 2009-05-16 · 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{WXJZTDBUL4MXBKS3RJBQB246LL}

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	2026-05-18T02:58:31.067907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d3998c345f1970aa5b8a4300eb9e5acddca878fa5db1aeeefe5ae3079c32ed

Aliases

arxiv: 0905.2613 · arxiv_version: 0905.2613v3 · doi: 10.48550/arxiv.0905.2613 · pith_short_12: WXJZTDBUL4MX · pith_short_16: WXJZTDBUL4MXBKS3 · pith_short_8: WXJZTDBU

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/WXJZTDBUL4MXBKS3RJBQB246LL \
  | 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: b5d3998c345f1970aa5b8a4300eb9e5acddca878fa5db1aeeefe5ae3079c32ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1172716b618ffb1705135274f8c983e710d539e2eda0183037890dc5ce50678",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-05-16T17:42:40Z",
    "title_canon_sha256": "91c523fb57f0dd2e5b53dea17271dc347dd3e0b440c5eed8b0d855ff5ac7fcd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2613",
    "kind": "arxiv",
    "version": 3
  }
}