Pith Number

pith:L3EA5B7L

pith:2015:L3EA5B7L4UU72RW4TIL2TM3ZAT

not attested not anchored not stored refs pending

Convergence of the Gutt Star Product

Chiara Esposito, Paul Stapor, Stefan Waldmann

arxiv:1509.09160 v2 · 2015-09-30 · math.QA · math-ph · math.FA · 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{L3EA5B7L4UU72RW4TIL2TM3ZAT}

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	2026-05-18T00:48:05.846884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ec80e87ebe529fd46dc9a17a9b37904f9e71d621fbd1e0de107664650aaf712

Aliases

arxiv: 1509.09160 · arxiv_version: 1509.09160v2 · doi: 10.48550/arxiv.1509.09160 · pith_short_12: L3EA5B7L4UU7 · pith_short_16: L3EA5B7L4UU72RW4 · pith_short_8: L3EA5B7L

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/L3EA5B7L4UU72RW4TIL2TM3ZAT \
  | 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: 5ec80e87ebe529fd46dc9a17a9b37904f9e71d621fbd1e0de107664650aaf712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd0cc138e5e4d76f50ce3ece41e411cf25d1703947b174f76f8fd67fdfd21d97",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-09-30T12:56:18Z",
    "title_canon_sha256": "da354b2740aa912b3fdd30157b120969ee841247d72603c7a934871b0d32413b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09160",
    "kind": "arxiv",
    "version": 2
  }
}