Pith Number

pith:3MIBEKKR

pith:2011:3MIBEKKRKRIES4IQFIBUQYG4IZ

not attested not anchored not stored refs pending

Code & order in polygonal billiards

CPT, IML), Jozef Bobok, Serge Troubetzkoy (FRUMAM

arxiv:1102.4220 v1 · 2011-02-21 · 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{3MIBEKKRKRIES4IQFIBUQYG4IZ}

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	2026-05-18T03:39:43.843665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db1012295154504971102a034860dc46404ed650162de3eeea4f823ffda14f51

Aliases

arxiv: 1102.4220 · arxiv_version: 1102.4220v1 · doi: 10.48550/arxiv.1102.4220 · pith_short_12: 3MIBEKKRKRIE · pith_short_16: 3MIBEKKRKRIES4IQ · pith_short_8: 3MIBEKKR

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/3MIBEKKRKRIES4IQFIBUQYG4IZ \
  | 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: db1012295154504971102a034860dc46404ed650162de3eeea4f823ffda14f51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "690728c18bd112ff6c020f8ccfa038987a0c9be9161c82128c9e6702756cd70b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-21T13:39:34Z",
    "title_canon_sha256": "c6a242a62c3764f0b23bbcd2597554a8eddb3c9d9ac0781c6528b6e99874711e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4220",
    "kind": "arxiv",
    "version": 1
  }
}