Pith Number

pith:Z52JMYHO

pith:2015:Z52JMYHOW3WRHNKT5FCSYOPBO3

not attested not anchored not stored refs pending

Game Distinguishing Numbers of Cartesian Products of Graphs

Kahina Meslem, Simon Schmidt, Souad Slimani, Sylvain Gravier

arxiv:1512.01463 v1 · 2015-12-04 · 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{Z52JMYHOW3WRHNKT5FCSYOPBO3}

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	2026-05-18T01:25:16.792630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf749660eeb6ed13b553e9452c39e176ccd8bb5534b27100512b2a483aa2a7fb

Aliases

arxiv: 1512.01463 · arxiv_version: 1512.01463v1 · doi: 10.48550/arxiv.1512.01463 · pith_short_12: Z52JMYHOW3WR · pith_short_16: Z52JMYHOW3WRHNKT · pith_short_8: Z52JMYHO

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/Z52JMYHOW3WRHNKT5FCSYOPBO3 \
  | 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: cf749660eeb6ed13b553e9452c39e176ccd8bb5534b27100512b2a483aa2a7fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93cdc8679e53600b0bc12426c33c0e84af0c426517199576f7ea3dcc07c7bd27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-04T16:05:51Z",
    "title_canon_sha256": "bf4de1101ea931c9de8cb4aaec44c912c8f03d7e6c0987b71d26d2e8215260b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01463",
    "kind": "arxiv",
    "version": 1
  }
}