Pith Number

pith:VV2A2H56

pith:2000:VV2A2H565REL2HM3HI5SYD3E76

not attested not anchored not stored refs pending

Heisenberg duoble, pentagon equation, structure and classification of finite dimensional Hopf algebras

G. Militaru

arxiv:math/0009141 v1 · 2000-09-14 · 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{VV2A2H565REL2HM3HI5SYD3E76}

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	2026-05-18T02:56:12.971455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad740d1fbeec48bd1d9b3a3b2c0f64ff9f08e557a750ebda5efc43c16cb0f121

Aliases

arxiv: math/0009141 · arxiv_version: math/0009141v1 · doi: 10.48550/arxiv.math/0009141 · pith_short_12: VV2A2H565REL · pith_short_16: VV2A2H565REL2HM3 · pith_short_8: VV2A2H56

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/VV2A2H565REL2HM3HI5SYD3E76 \
  | 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: ad740d1fbeec48bd1d9b3a3b2c0f64ff9f08e557a750ebda5efc43c16cb0f121

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8207e968bc325eb40cff15ef3083c378d7287f75dcc271af3df1b6b56c5af6ec",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-09-14T08:11:16Z",
    "title_canon_sha256": "32ac09a2cdc6feca5103065ebd82406b3ff93e6074a37ff209a325a006e89d30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0009141",
    "kind": "arxiv",
    "version": 1
  }
}