Pith Number

pith:F45SEPBB

pith:2012:F45SEPBBGNDZXARIRQS57VMQ3A

not attested not anchored not stored refs pending

k-colored kernels

Bernardo Llano, Hortensia Galeana-S\'anchez, Juan Jos\'e Montellano-Ballesteros

arxiv:1201.2712 v1 · 2012-01-13 · 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{F45SEPBBGNDZXARIRQS57VMQ3A}

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	2026-05-18T04:04:43.258748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f3b223c2133479b82288c25dfd590d83f60512e94a469d84e115b10f43d1e8a

Aliases

arxiv: 1201.2712 · arxiv_version: 1201.2712v1 · doi: 10.48550/arxiv.1201.2712 · pith_short_12: F45SEPBBGNDZ · pith_short_16: F45SEPBBGNDZXARI · pith_short_8: F45SEPBB

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/F45SEPBBGNDZXARIRQS57VMQ3A \
  | 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: 2f3b223c2133479b82288c25dfd590d83f60512e94a469d84e115b10f43d1e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fd0173d409939429c61b5a28cc28fe74ecd23228e02ad414b1942ab632bbc62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-13T00:18:15Z",
    "title_canon_sha256": "552a63c8be7326a027ebbfcb09676a98ef775f43e154881ac2db1f398da0421d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2712",
    "kind": "arxiv",
    "version": 1
  }
}