Pith Number

pith:OBGBZL5G

pith:2023:OBGBZL5GIE7UFA2P3IGD2KJKHB

not attested not anchored not stored refs pending

Pinned Billiard Balls Simulation (WXML Autumn 2023 report)

Anish Gupta, Bella Cochran, Colin Holzman-Klima, Krzysztof Burdzy, Raghavendra Tripathi, Wanchaloem Wunkaew

arxiv:2312.11869 v1 · 2023-12-19 · math.DS · math.PR · 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{OBGBZL5GIE7UFA2P3IGD2KJKHB}

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	2026-07-05T07:25:55.564573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

704c1cafa6413f42834fda0c3d292a38724c8c453ba07da414bc75aef605eda1

Aliases

arxiv: 2312.11869 · arxiv_version: 2312.11869v1 · doi: 10.48550/arxiv.2312.11869 · pith_short_12: OBGBZL5GIE7U · pith_short_16: OBGBZL5GIE7UFA2P · pith_short_8: OBGBZL5G

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/OBGBZL5GIE7UFA2P3IGD2KJKHB \
  | 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: 704c1cafa6413f42834fda0c3d292a38724c8c453ba07da414bc75aef605eda1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4f4f2361a01a96f67505af0a3f309e7ee68f0bca902a991227453415ffd767a",
    "cross_cats_sorted": [
      "math.PR",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-12-19T05:45:58Z",
    "title_canon_sha256": "14fd257d19a349b06a5aeab5bcc777220e544223465b1b9705c9a7a3a2780831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.11869",
    "kind": "arxiv",
    "version": 1
  }
}