Pith Number

pith:YTARLUDL

pith:2025:YTARLUDLG57MKTA7YUPNDZEKNY

not attested not anchored not stored refs pending

Abstract Cluster Structures

Jan E. Grabowski, Sira Gratz

arxiv:2510.02959 v2 · 2025-10-03 · math.RA · math.CT · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTARLUDLG57MKTA7YUPNDZEKNY}

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	2026-06-11T01:09:18.457253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4c115d06b377ec54c1fc51ed1e48a6e1d69df8d0b527ed43d407d126652236f

Aliases

arxiv: 2510.02959 · arxiv_version: 2510.02959v2 · doi: 10.48550/arxiv.2510.02959 · pith_short_12: YTARLUDLG57M · pith_short_16: YTARLUDLG57MKTA7 · pith_short_8: YTARLUDL

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/YTARLUDLG57MKTA7YUPNDZEKNY \
  | 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: c4c115d06b377ec54c1fc51ed1e48a6e1d69df8d0b527ed43d407d126652236f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "843f2b825bd90fed58739dcefdb539ae520487e4f19dd1c033bb347aac9ace45",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-10-03T12:51:14Z",
    "title_canon_sha256": "3725c141e10878ad9b1ed315ddd8cee618f479e9b899666361dd846eb7093a25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.02959",
    "kind": "arxiv",
    "version": 2
  }
}