Pith Number

pith:I3XD5MLF

pith:2012:I3XD5MLFEO77MMXR4OMXVVNGAY

not attested not anchored not stored refs pending

Combinatorial Games with a Pass: A dynamical systems approach

Adam S. Landsberg, Eric J. Friedman, Rebecca E. Morrison

arxiv:1204.3222 v1 · 2012-04-14 · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3XD5MLFEO77MMXR4OMXVVNGAY}

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	2026-05-18T03:57:52.246673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46ee3eb16523bff632f1e3997ad5a6060e8c68c7f26d87def0d8927d7b1e22ce

Aliases

arxiv: 1204.3222 · arxiv_version: 1204.3222v1 · doi: 10.48550/arxiv.1204.3222 · pith_short_12: I3XD5MLFEO77 · pith_short_16: I3XD5MLFEO77MMXR · pith_short_8: I3XD5MLF

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/I3XD5MLFEO77MMXR4OMXVVNGAY \
  | 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: 46ee3eb16523bff632f1e3997ad5a6060e8c68c7f26d87def0d8927d7b1e22ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7abf0fd8455553d169fe725d2ab959ad8d118693adc2adbf61f75da55625126",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-14T22:16:26Z",
    "title_canon_sha256": "8b32585054a8b3eda220480f33f92ce31a612cc07ff0e60055166f182ba7e569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3222",
    "kind": "arxiv",
    "version": 1
  }
}