Pith Number

pith:WDFPMZ6M

pith:2011:WDFPMZ6M5Y6VLLORTVOLYM2BAN

not attested not anchored not stored refs pending

Dynamic Modeling and Simulation of a Real World Billiard

Alexandre E. Hartl, Andre P. Mazzoleni, Bruce N. Miller

arxiv:1103.4432 v1 · 2011-03-23 · nlin.CD · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDFPMZ6M5Y6VLLORTVOLYM2BAN}

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	2026-05-18T02:02:47.962716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0caf667ccee3d55add19d5cbc334103615e4c1b5343ed88bceab6e7cdf1587c

Aliases

arxiv: 1103.4432 · arxiv_version: 1103.4432v1 · doi: 10.48550/arxiv.1103.4432 · pith_short_12: WDFPMZ6M5Y6V · pith_short_16: WDFPMZ6M5Y6VLLOR · pith_short_8: WDFPMZ6M

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/WDFPMZ6M5Y6VLLORTVOLYM2BAN \
  | 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: b0caf667ccee3d55add19d5cbc334103615e4c1b5343ed88bceab6e7cdf1587c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c19a9b5a3d9cc3a597878466ce605749513edbc7a42c919666a2e3ee5988d069",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2011-03-23T03:30:14Z",
    "title_canon_sha256": "2f1fb16b9161e70042ded68db29aaaa27f99f37c37b5802f9fcf28ae4191fd41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4432",
    "kind": "arxiv",
    "version": 1
  }
}