Pith Number

pith:I4PWFF3Y

pith:2013:I4PWFF3YZ4X5GJE4SLE37OTUZX

not attested not anchored not stored refs pending

F-method for symmetry breaking operators

Toshiyuki Kobayashi

arxiv:1303.3541 v2 · 2013-03-14 · math.RT · math-ph · math.CA · math.DG · 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{I4PWFF3YZ4X5GJE4SLE37OTUZX}

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	2026-05-18T03:04:38.022559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

471f629778cf2fd3249c92c9bfba74cdfc6e7198727bdf38745a7095817a5f02

Aliases

arxiv: 1303.3541 · arxiv_version: 1303.3541v2 · doi: 10.48550/arxiv.1303.3541 · pith_short_12: I4PWFF3YZ4X5 · pith_short_16: I4PWFF3YZ4X5GJE4 · pith_short_8: I4PWFF3Y

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/I4PWFF3YZ4X5GJE4SLE37OTUZX \
  | 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: 471f629778cf2fd3249c92c9bfba74cdfc6e7198727bdf38745a7095817a5f02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd28ebe7a732aae3283d6f2c467de02c6ab7874c74580b89f3e52db8a162f681",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-03-14T18:34:53Z",
    "title_canon_sha256": "a4f50e0455d70d17d46d68aace620f8cb3fd4d28a0a32a8543065c4f98ef421f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3541",
    "kind": "arxiv",
    "version": 2
  }
}