Pith Number

pith:C56AAEUZ

pith:2012:C56AAEUZWFAXIMH57FRW3M6UWX

not attested not anchored not stored refs pending

An Undecidable Nested Recurrence Relation

Frank Ruskey, Marcel Celaya

arxiv:1203.0586 v1 · 2012-03-02 · math.CO · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C56AAEUZWFAXIMH57FRW3M6UWX}

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	2026-05-18T04:00:51.201435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

177c001299b1417430fdf9636db3d4b5fa9bb5996ccdc27106b7cc5d960042f6

Aliases

arxiv: 1203.0586 · arxiv_version: 1203.0586v1 · doi: 10.48550/arxiv.1203.0586 · pith_short_12: C56AAEUZWFAX · pith_short_16: C56AAEUZWFAXIMH5 · pith_short_8: C56AAEUZ

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/C56AAEUZWFAXIMH57FRW3M6UWX \
  | 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: 177c001299b1417430fdf9636db3d4b5fa9bb5996ccdc27106b7cc5d960042f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aae328ec101de3bd1a7d243fd4269eed7387022dc0e5fbb847e7a8fe514c47b",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-02T23:15:42Z",
    "title_canon_sha256": "3471bef07536fb8c9ed0aaa503814e369b7c1c865151d852ba1b3801e5c5dc93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0586",
    "kind": "arxiv",
    "version": 1
  }
}