Pith Number

pith:TOORBPVF

pith:2011:TOORBPVFGJNK6F6BSAKMJ446QU

not attested not anchored not stored refs pending

Virtual images and billiards

Cody V. Thompson, J. Christopher Moore, Richard D. Floyd

arxiv:1103.3254 v2 · 2011-03-16 · physics.ed-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{TOORBPVFGJNK6F6BSAKMJ446QU}

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	2026-05-18T04:11:31.741402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b9d10bea5325aaf17c19014c4f39e850b1cbd6098518f505abbe2d984f243e9

Aliases

arxiv: 1103.3254 · arxiv_version: 1103.3254v2 · doi: 10.48550/arxiv.1103.3254 · pith_short_12: TOORBPVFGJNK · pith_short_16: TOORBPVFGJNK6F6B · pith_short_8: TOORBPVF

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/TOORBPVFGJNK6F6BSAKMJ446QU \
  | 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: 9b9d10bea5325aaf17c19014c4f39e850b1cbd6098518f505abbe2d984f243e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8e4963683e00efe2a1f9e3c8a3d440228d865e56ef63c80f432dbe9ceb634ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2011-03-16T18:50:20Z",
    "title_canon_sha256": "9c904692cea005893005684d933fd7065af7c4534338be39583486b293624c4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3254",
    "kind": "arxiv",
    "version": 2
  }
}