Pith Number

pith:JBQKFZCA

pith:2012:JBQKFZCABCJEHYN2NDP4D2PVQP

not attested not anchored not stored refs pending

Two-Particle Circular Billiards Versus Randomly Perturbed One-Particle Circular Billiards

Mason A. Porter, Sandra Rankovi\'c

arxiv:1209.3504 v2 · 2012-09-16 · nlin.CD · cond-mat.dis-nn · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JBQKFZCABCJEHYN2NDP4D2PVQP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:32:07.706952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4860a2e440089243e1ba68dfc1e9f583f02a690731f78b258ee76756b04d7bc7

Aliases

arxiv: 1209.3504 · arxiv_version: 1209.3504v2 · doi: 10.48550/arxiv.1209.3504 · pith_short_12: JBQKFZCABCJE · pith_short_16: JBQKFZCABCJEHYN2 · pith_short_8: JBQKFZCA

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/JBQKFZCABCJEHYN2NDP4D2PVQP \
  | 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: 4860a2e440089243e1ba68dfc1e9f583f02a690731f78b258ee76756b04d7bc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51e11944198bd77f27da17fe24b8ee6429060e42a82527e31e5e633db07cc499",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2012-09-16T16:36:34Z",
    "title_canon_sha256": "8cff2dcca6965d5012a50748d4e848b60a73f65df76266aaa46c044ad621239d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3504",
    "kind": "arxiv",
    "version": 2
  }
}