Pith Number

pith:JMDICY47

pith:2014:JMDICY47SPST37QOKIK7S5HUBY

not attested not anchored not stored refs pending

Fool's Solitaire on Joins and Cartesian Products of Graphs

Jennifer Wise, Sarah Loeb

arxiv:1402.7105 v1 · 2014-02-27 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMDICY47SPST37QOKIK7S5HUBY}

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	2026-05-18T02:57:35.035835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0681639f93e53dfe0e5215f974f40e1c6933b7c20c8b30d7b62947048dec24

Aliases

arxiv: 1402.7105 · arxiv_version: 1402.7105v1 · doi: 10.48550/arxiv.1402.7105 · pith_short_12: JMDICY47SPST · pith_short_16: JMDICY47SPST37QO · pith_short_8: JMDICY47

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/JMDICY47SPST37QOKIK7S5HUBY \
  | 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: 4b0681639f93e53dfe0e5215f974f40e1c6933b7c20c8b30d7b62947048dec24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6264b4ee8be83447fd068351f33caafe5a2b1e0cde71eb37be0ad70b38971265",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-27T23:09:18Z",
    "title_canon_sha256": "4eb5dd97bd95e93b1f716775418ffcc07e3815c664bfa75ec2e48f0c390b6ff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.7105",
    "kind": "arxiv",
    "version": 1
  }
}