Pith Number

pith:APSDC7AJ

pith:2011:APSDC7AJRSR563HHXCXKTBEMKK

not attested not anchored not stored refs pending

Algorithms for lattice games

Alan Guo, Ezra Miller

arxiv:1105.5413 v1 · 2011-05-26 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APSDC7AJRSR563HHXCXKTBEMKK}

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	2026-05-18T04:21:11.865175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03e4317c098ca3df6ce7b8aea9848c52ab24b4e5467f68aff2943f8be4dd3523

Aliases

arxiv: 1105.5413 · arxiv_version: 1105.5413v1 · doi: 10.48550/arxiv.1105.5413 · pith_short_12: APSDC7AJRSR5 · pith_short_16: APSDC7AJRSR563HH · pith_short_8: APSDC7AJ

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/APSDC7AJRSR563HHXCXKTBEMKK \
  | 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: 03e4317c098ca3df6ce7b8aea9848c52ab24b4e5467f68aff2943f8be4dd3523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30627b2a0c072033229d015a6b237555db6ed4f5222cdf148af5e70eb6111b38",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-26T21:46:35Z",
    "title_canon_sha256": "cae4325e5ee3baadbbd34c839c999e4abc812626247905320145d473175c966e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5413",
    "kind": "arxiv",
    "version": 1
  }
}