Pith Number

pith:CYUGFVLR

pith:2010:CYUGFVLREODK3QBXQIWKBQMLLK

not attested not anchored not stored refs pending

Spectral Statistics of "Cellular" Billiards

Boris Gutkin

arxiv:1010.0276 v1 · 2010-10-01 · nlin.CD · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYUGFVLREODK3QBXQIWKBQMLLK}

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	2026-05-18T02:05:12.452698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

162862d5712386adc037822ca0c18b5a8058b7715d4d4fe392cb1c55d8ace7eb

Aliases

arxiv: 1010.0276 · arxiv_version: 1010.0276v1 · doi: 10.48550/arxiv.1010.0276 · pith_short_12: CYUGFVLREODK · pith_short_16: CYUGFVLREODK3QBX · pith_short_8: CYUGFVLR

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/CYUGFVLREODK3QBXQIWKBQMLLK \
  | 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: 162862d5712386adc037822ca0c18b5a8058b7715d4d4fe392cb1c55d8ace7eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b669dec8e784697a2ebe1ff773e702f096cf40055ea67c62bdba6889f34337",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2010-10-01T23:17:57Z",
    "title_canon_sha256": "bc248cd58cfd6217e5dd37649e6686862281dc25df436d6a4d1fbd40d1992076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0276",
    "kind": "arxiv",
    "version": 1
  }
}