Pith Number

pith:ZZ523RYN

pith:2011:ZZ523RYNIKCSMOD76NTKJ7EQHG

not attested not anchored not stored refs pending

A number theoretic question arising in the geometry of plane curves and in billiard dynamics

Van Cyr

arxiv:1103.5072 v1 · 2011-03-25 · math.NT · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZ523RYNIKCSMOD76NTKJ7EQHG}

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	2026-05-18T04:25:48.064790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce7badc70d428526387ff366a4fc9039bee1d9bd6bf2a36a2ebb6329eeb69ebf

Aliases

arxiv: 1103.5072 · arxiv_version: 1103.5072v1 · doi: 10.48550/arxiv.1103.5072 · pith_short_12: ZZ523RYNIKCS · pith_short_16: ZZ523RYNIKCSMOD7 · pith_short_8: ZZ523RYN

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/ZZ523RYNIKCSMOD76NTKJ7EQHG \
  | 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: ce7badc70d428526387ff366a4fc9039bee1d9bd6bf2a36a2ebb6329eeb69ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe1853bcdfef0ed15d3f1d04bb1a7fb0e415f887d268a2535d868408560d0f1a",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-25T19:57:25Z",
    "title_canon_sha256": "3a4692dbaaf7a63eb218801a3436164cd75740dffba8fece92981368e5d4ce86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5072",
    "kind": "arxiv",
    "version": 1
  }
}