Pith Number

pith:J7XPIPAU

pith:2013:J7XPIPAUSI3K37ADA6G7XL22GH

not attested not anchored not stored refs pending

Completions of epsilon-dense partial Latin squares; quasirandom k-colorings of graphs

Padraic Bartlett

arxiv:1306.0342 v1 · 2013-06-03 · 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{J7XPIPAUSI3K37ADA6G7XL22GH}

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	2026-05-18T03:21:55.479058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4feef43c149236adfc03078dfbaf5a31fa1b08f8c63b287dc3516a917b6ce2d3

Aliases

arxiv: 1306.0342 · arxiv_version: 1306.0342v1 · doi: 10.48550/arxiv.1306.0342 · pith_short_12: J7XPIPAUSI3K · pith_short_16: J7XPIPAUSI3K37AD · pith_short_8: J7XPIPAU

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/J7XPIPAUSI3K37ADA6G7XL22GH \
  | 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: 4feef43c149236adfc03078dfbaf5a31fa1b08f8c63b287dc3516a917b6ce2d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "178a6d2e255fe999c550797da411bd96bd6e904596091e190110345e69cc7deb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-03T09:32:32Z",
    "title_canon_sha256": "ab6f8ca657dca49c5801a5c362186333fc895ec40a5e9ac6b9d00a1ac00d8b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0342",
    "kind": "arxiv",
    "version": 1
  }
}