Pith Number

pith:GZU7GNGY

pith:2004:GZU7GNGYVGY7XDI5XSRT7ZNWAJ

not attested not anchored not stored refs pending

On bialgebras associated with paths and essential paths on ADE graphs

Ariel O. Garcia (FORSCHUNGSZENTRUM Karlsruhe, Max-Planck-Institut), Robert Coquereaux (CPT)

arxiv:math-ph/0411048 v1 · 2004-11-12 · math-ph · hep-th · math.MP · 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{GZU7GNGYVGY7XDI5XSRT7ZNWAJ}

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	2026-05-18T01:38:33.319584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3669f334d8a9b1fb8d1dbca33fe5b60261c5ca88e16d24cddd8e08f878180fee

Aliases

arxiv: math-ph/0411048 · arxiv_version: math-ph/0411048v1 · doi: 10.48550/arxiv.math-ph/0411048 · pith_short_12: GZU7GNGYVGY7 · pith_short_16: GZU7GNGYVGY7XDI5 · pith_short_8: GZU7GNGY

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/GZU7GNGYVGY7XDI5XSRT7ZNWAJ \
  | 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: 3669f334d8a9b1fb8d1dbca33fe5b60261c5ca88e16d24cddd8e08f878180fee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ae142487ba7ba077f99571b6cfff5c1f666e41622d8545657f1c6470c7e0723",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-11-12T16:09:34Z",
    "title_canon_sha256": "e373f5a613e15bc554cb9af5ff2029713908b43c2596c490272cae61030af84e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0411048",
    "kind": "arxiv",
    "version": 1
  }
}