Pith Number

pith:RHC6GQY6

pith:2011:RHC6GQY6ZO4HEPDWQZWTICRGGB

not attested not anchored not stored refs pending

Consistency of multidimensional combinatorial substitutions

Jarkko Kari, Timo Jolivet

arxiv:1112.1841 v2 · 2011-12-08 · cs.DM · cs.FL · 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{RHC6GQY6ZO4HEPDWQZWTICRGGB}

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	2026-05-18T02:49:02.150803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89c5e3431ecbb8723c76866d340a26304a26bbea1e0ef1de96b230972b69e116

Aliases

arxiv: 1112.1841 · arxiv_version: 1112.1841v2 · doi: 10.48550/arxiv.1112.1841 · pith_short_12: RHC6GQY6ZO4H · pith_short_16: RHC6GQY6ZO4HEPDW · pith_short_8: RHC6GQY6

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/RHC6GQY6ZO4HEPDWQZWTICRGGB \
  | 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: 89c5e3431ecbb8723c76866d340a26304a26bbea1e0ef1de96b230972b69e116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2001a7258fcdd415ff483d108eeab46b8ff6895d6c1b099cc98c72598fccf6b",
    "cross_cats_sorted": [
      "cs.FL",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-12-08T14:10:59Z",
    "title_canon_sha256": "8dcad79e6354b4ef41a2cc0e98cba3be3a06d98a634958df5c1265c92b300064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1841",
    "kind": "arxiv",
    "version": 2
  }
}