Pith Number

pith:MGRA3GZX

pith:2003:MGRA3GZXCKIHGZKXJUBEKRAQ5F

not attested not anchored not stored refs pending

Structure of Coset Models

Soeren Koester

arxiv:math-ph/0308031 v1 · 2003-08-26 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGRA3GZXCKIHGZKXJUBEKRAQ5F}

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	2026-07-04T14:33:56.781926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61a20d9b3712907365574d02454410e97308990a34456662c827ac9b69f21374

Aliases

arxiv: math-ph/0308031 · arxiv_version: math-ph/0308031v1 · doi: 10.48550/arxiv.math-ph/0308031 · pith_short_12: MGRA3GZXCKIH · pith_short_16: MGRA3GZXCKIHGZKX · pith_short_8: MGRA3GZX

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/MGRA3GZXCKIHGZKXJUBEKRAQ5F \
  | 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: 61a20d9b3712907365574d02454410e97308990a34456662c827ac9b69f21374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "019c4460de3d8e4b66e55c1be72103aab646d7b567fd1705652e50d6fe042363",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-08-26T15:09:07Z",
    "title_canon_sha256": "1b6c96efe70c6240fb4ad61a7b7b8165879927524bde8fd01891a1617c7b015d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0308031",
    "kind": "arxiv",
    "version": 1
  }
}