Pith Number

pith:IX4CYZZR

pith:2010:IX4CYZZR53KN7FGQ3PCAX4GJJG

not attested not anchored not stored refs pending

Friezes, Strings and Cluster Variables

David Smith, Gr\'egoire Dupont, Ibrahim Assem, Ralf Schiffler

arxiv:1009.3341 v2 · 2010-09-17 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IX4CYZZR53KN7FGQ3PCAX4GJJG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:26:55.570547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f82c6731eed4df94d0dbc40bf0c949b6120dd53c207a56a253387b22dcbc49

Aliases

arxiv: 1009.3341 · arxiv_version: 1009.3341v2 · doi: 10.48550/arxiv.1009.3341 · pith_short_12: IX4CYZZR53KN · pith_short_16: IX4CYZZR53KN7FGQ · pith_short_8: IX4CYZZR

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/IX4CYZZR53KN7FGQ3PCAX4GJJG \
  | 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: 45f82c6731eed4df94d0dbc40bf0c949b6120dd53c207a56a253387b22dcbc49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9287d99755cbf816129a34f95ec44bdeb866e61634c132484e40cfa0efa7db46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-09-17T06:00:00Z",
    "title_canon_sha256": "e45cbfa3a2ff3d7046104f6c88b05c018f66e541bce79175ad3371438bd52a6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3341",
    "kind": "arxiv",
    "version": 2
  }
}