Pith Number

pith:PTGA4FDU

pith:2011:PTGA4FDUOMYZRV6T5PVOA2FPZ2

not attested not anchored not stored refs pending

Chain-making games in grid-like posets

Daniel W. Cranston, Douglas B. West, Gregory J. Puleo, Kevin G. Milans, William B. Kinnersley

arxiv:1108.0710 v1 · 2011-08-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTGA4FDUOMYZRV6T5PVOA2FPZ2}

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	2026-05-18T01:35:53.099359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ccc0e1474733198d7d3ebeae068afcea846f8ec5ecb227ea66e8351af62d3a5

Aliases

arxiv: 1108.0710 · arxiv_version: 1108.0710v1 · doi: 10.48550/arxiv.1108.0710 · pith_short_12: PTGA4FDUOMYZ · pith_short_16: PTGA4FDUOMYZRV6T · pith_short_8: PTGA4FDU

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/PTGA4FDUOMYZRV6T5PVOA2FPZ2 \
  | 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: 7ccc0e1474733198d7d3ebeae068afcea846f8ec5ecb227ea66e8351af62d3a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb47a522f75704590c274cc1762209468a8dbb2ae54bf2c4bb285bcc3b7f7241",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-02T23:14:22Z",
    "title_canon_sha256": "f6fca54788e4eac066b25a937c38f0c1201ac6a98d2d33f9699ed07088932d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0710",
    "kind": "arxiv",
    "version": 1
  }
}