Pith Number

pith:YODQPWHI

pith:1998:YODQPWHIE42ZAGX5LHVPPZUWJC

not attested not anchored not stored refs pending

New types of bialgebras arising from the Hopf equation

Gigel Militaru

arxiv:math/9807004 v1 · 1998-07-02 · 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{YODQPWHIE42ZAGX5LHVPPZUWJC}

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	2026-05-18T02:56:12.929549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38707d8e82735901afd59eaf7e69648804da7451c81a0a35105dd305dbf92cd

Aliases

arxiv: math/9807004 · arxiv_version: math/9807004v1 · doi: 10.48550/arxiv.math/9807004 · pith_short_12: YODQPWHIE42Z · pith_short_16: YODQPWHIE42ZAGX5 · pith_short_8: YODQPWHI

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/YODQPWHIE42ZAGX5LHVPPZUWJC \
  | 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: c38707d8e82735901afd59eaf7e69648804da7451c81a0a35105dd305dbf92cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f509492aa4870cd8835b5eb80cee04ef0fcc6bbc726b19788d1fc5c056accfea",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1998-07-02T10:51:37Z",
    "title_canon_sha256": "6c8b1c84969b4f3b2c6d9369f89077eba2aa495ad01484864b5c75ec5c203d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9807004",
    "kind": "arxiv",
    "version": 1
  }
}