Pith Number

pith:KGCZRDSM

pith:2013:KGCZRDSMK6JGMPNNVP43KC2YVF

not attested not anchored not stored refs pending

On Lattices of Regular Sets of Natural Integers Closed under Decrementation

Ir\`ene Guessarian, Patrick C\'egielski, Serge Grigorieff

arxiv:1310.1378 v1 · 2013-10-04 · cs.DM · 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{KGCZRDSMK6JGMPNNVP43KC2YVF}

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	2026-05-18T03:11:22.525018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5185988e4c5792663dadabf9b50b58a96f054489c951b21a4d64c9e3eb2d7709

Aliases

arxiv: 1310.1378 · arxiv_version: 1310.1378v1 · doi: 10.48550/arxiv.1310.1378 · pith_short_12: KGCZRDSMK6JG · pith_short_16: KGCZRDSMK6JGMPNN · pith_short_8: KGCZRDSM

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/KGCZRDSMK6JGMPNNVP43KC2YVF \
  | 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: 5185988e4c5792663dadabf9b50b58a96f054489c951b21a4d64c9e3eb2d7709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e27a072cf429d10aec962272f7dcb1df852448dbb8c4e163ef1b49956398279",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-10-04T19:17:45Z",
    "title_canon_sha256": "bde9311e6b5f0c7a70d7a3a91489708668694a32eae319497c5e535635fa7e07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1378",
    "kind": "arxiv",
    "version": 1
  }
}