Pith Number

pith:MOG4ZH7F

pith:2005:MOG4ZH7FBJGGDEQBOBFASGRHJW

not attested not anchored not stored refs pending

Coboundary Lie bialgebras and commutative subalgebras of universal enveloping algebras

B. Enriquez, G. Halbout

arxiv:math/0503608 v1 · 2005-03-25 · 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{MOG4ZH7FBJGGDEQBOBFASGRHJW}

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	2026-07-04T14:39:50.355494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

638dcc9fe50a4c619201704a091a274da2079938bbacbb91624c5ba8f8bbadb8

Aliases

arxiv: math/0503608 · arxiv_version: math/0503608v1 · doi: 10.48550/arxiv.math/0503608 · pith_short_12: MOG4ZH7FBJGG · pith_short_16: MOG4ZH7FBJGGDEQB · pith_short_8: MOG4ZH7F

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/MOG4ZH7FBJGGDEQBOBFASGRHJW \
  | 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: 638dcc9fe50a4c619201704a091a274da2079938bbacbb91624c5ba8f8bbadb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9be8c7646e7c3f0144c6896624359dcd2e6dea084ca0eb6847f5a1813a75bdb8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-03-25T16:52:25Z",
    "title_canon_sha256": "71cea63d24209093a1122f51581a2ed7557deff83d1104a3ea02756376e1f4a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503608",
    "kind": "arxiv",
    "version": 1
  }
}