Pith Number

pith:662KVUKV

pith:2013:662KVUKVBIIKKM4PVOG5L5MSP7

not attested not anchored not stored refs pending

Smooth billiards with a large Weyl remainder

Iosif Polterovich, John A. Toth, Suresh Eswarathasan

arxiv:1304.6440 v3 · 2013-04-23 · math.AP · math.DS · 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{662KVUKVBIIKKM4PVOG5L5MSP7}

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	2026-05-18T02:48:17.792581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7b4aad1550a10a5338fab8dd5f5927fd6da5cf27d820d4717e9efb9ca0b6344

Aliases

arxiv: 1304.6440 · arxiv_version: 1304.6440v3 · doi: 10.48550/arxiv.1304.6440 · pith_short_12: 662KVUKVBIIK · pith_short_16: 662KVUKVBIIKKM4P · pith_short_8: 662KVUKV

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/662KVUKVBIIKKM4PVOG5L5MSP7 \
  | 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: f7b4aad1550a10a5338fab8dd5f5927fd6da5cf27d820d4717e9efb9ca0b6344

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4937ca6627b7764bb5d04c373d1040e3441f9630ba716e1f17e740d2a37bd87a",
    "cross_cats_sorted": [
      "math.DS",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-23T23:23:38Z",
    "title_canon_sha256": "a98b1056601fd0eeba35428130febf1d6b3c13c44e5ec503a9f303bfa153b693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6440",
    "kind": "arxiv",
    "version": 3
  }
}