Pith Number

pith:TFRZV4ML

pith:1995:TFRZV4ML2JD4HUKRQH56NQM7RK

not attested not anchored not stored refs pending

An analysis of Bennett's pebble game

Emanuel Knill

arxiv:math/9508218 v1 · 1995-08-08 · math.CO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFRZV4ML2JD4HUKRQH56NQM7RK}

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	2026-05-18T01:05:48.392086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99639af18bd247c3d15181fbe6c19f8aa54c965068c4779a59400e494fc2784c

Aliases

arxiv: math/9508218 · arxiv_version: math/9508218v1 · doi: 10.48550/arxiv.math/9508218 · pith_short_12: TFRZV4ML2JD4 · pith_short_16: TFRZV4ML2JD4HUKR · pith_short_8: TFRZV4ML

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/TFRZV4ML2JD4HUKRQH56NQM7RK \
  | 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: 99639af18bd247c3d15181fbe6c19f8aa54c965068c4779a59400e494fc2784c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d273130bbc3cdf655e7f6a58e180f5bfc65a72db56e21f6d6e7e5848ad179cb",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1995-08-08T00:00:00Z",
    "title_canon_sha256": "68ad307e87b6ddf7b8b6a8b98c5b985639abd9b9f4d004953fd269aa06442460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9508218",
    "kind": "arxiv",
    "version": 1
  }
}