Pith Number

pith:OAXHU45E

pith:2010:OAXHU45EIS2IYTLX7TYE3NFP7M

not attested not anchored not stored refs pending

2-frieze patterns and the cluster structure of the space of polygons

Serge Tabachnikov, Sophie Morier-Genoud, Valentin Ovsienko

arxiv:1008.3359 v5 · 2010-08-19 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OAXHU45EIS2IYTLX7TYE3NFP7M}

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	2026-05-18T04:18:04.574740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

702e7a73a444b48c4d77fcf04db4affb3c8ab58d9d05985489a2765c3fff085d

Aliases

arxiv: 1008.3359 · arxiv_version: 1008.3359v5 · doi: 10.48550/arxiv.1008.3359 · pith_short_12: OAXHU45EIS2I · pith_short_16: OAXHU45EIS2IYTLX · pith_short_8: OAXHU45E

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/OAXHU45EIS2IYTLX7TYE3NFP7M \
  | 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: 702e7a73a444b48c4d77fcf04db4affb3c8ab58d9d05985489a2765c3fff085d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2073efac18603d64fc8cba83f6de05818e3475158feb5c361556673d0249de91",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-19T17:29:08Z",
    "title_canon_sha256": "e973580ad722c308ff35266303ffc30a7280fcc5cc5d7b182e1999b9cba32e9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3359",
    "kind": "arxiv",
    "version": 5
  }
}