Pith Number

pith:AUZRLBL7

pith:2013:AUZRLBL7J6PG3Y3MRAAJEEIOW3

not attested not anchored not stored refs pending

Coxeter's frieze patterns and discretization of the Virasoro orbit

Serge Tabachnikov, Valentin Ovsienko

arxiv:1312.3021 v2 · 2013-12-11 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUZRLBL7J6PG3Y3MRAAJEEIOW3}

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	2026-05-18T03:01:55.911744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

053315857f4f9e6de36c880092110eb6c43fafbca787c1972fd147eb7a6d47f4

Aliases

arxiv: 1312.3021 · arxiv_version: 1312.3021v2 · doi: 10.48550/arxiv.1312.3021 · pith_short_12: AUZRLBL7J6PG · pith_short_16: AUZRLBL7J6PG3Y3M · pith_short_8: AUZRLBL7

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/AUZRLBL7J6PG3Y3MRAAJEEIOW3 \
  | 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: 053315857f4f9e6de36c880092110eb6c43fafbca787c1972fd147eb7a6d47f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ef38c3754306576df75e08ac84597378f2971d107a8d4eb08b1c2388a1cca2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-12-11T02:39:44Z",
    "title_canon_sha256": "68aa20ffd44e3d83c307dd4d0a8d68e1cd96ca5f12c796224504acde7b532acd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3021",
    "kind": "arxiv",
    "version": 2
  }
}