Pith Number

pith:PNV5AHF5

pith:2003:PNV5AHF5OVHPO5C64CKNG7UXPZ

not attested not anchored not stored refs pending

Point perturbations of circle billiards

Oran Richman, Saar Rahav, Shmuel Fishman

arxiv:nlin/0309061 v1 · 2003-09-23 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNV5AHF5OVHPO5C64CKNG7UXPZ}

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	2026-07-04T16:41:46.170507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b6bd01cbd754ef7745ee094d37e977e56ee8ef72466e349622b20571ec29b25

Aliases

arxiv: nlin/0309061 · arxiv_version: nlin/0309061v1 · doi: 10.48550/arxiv.nlin/0309061 · pith_short_12: PNV5AHF5OVHP · pith_short_16: PNV5AHF5OVHPO5C6 · pith_short_8: PNV5AHF5

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/PNV5AHF5OVHPO5C64CKNG7UXPZ \
  | 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: 7b6bd01cbd754ef7745ee094d37e977e56ee8ef72466e349622b20571ec29b25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f05766b87cec9443b239366887064a4a435ccd7777c408afe93fdcc9b3ad0a0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2003-09-23T14:47:12Z",
    "title_canon_sha256": "c79dcdff412fb9b7b034487b73dc3f439a81601d051c9d33a04d166d2648bfc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0309061",
    "kind": "arxiv",
    "version": 1
  }
}