Pith Number

pith:JPUNM2SN

pith:2012:JPUNM2SNQNHSJAAGNEL7H63XVK

not attested not anchored not stored refs pending

Decidability of uniform recurrence of morphic sequences

Fabien Durand (LAMFA)

arxiv:1204.5393 v2 · 2012-04-24 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPUNM2SNQNHSJAAGNEL7H63XVK}

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	2026-05-18T03:46:45.126340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4be8d66a4d834f2480066917f3fb77aa82b71e13b28b2bc20055485aaabdf538

Aliases

arxiv: 1204.5393 · arxiv_version: 1204.5393v2 · doi: 10.48550/arxiv.1204.5393 · pith_short_12: JPUNM2SNQNHS · pith_short_16: JPUNM2SNQNHSJAAG · pith_short_8: JPUNM2SN

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/JPUNM2SNQNHSJAAGNEL7H63XVK \
  | 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: 4be8d66a4d834f2480066917f3fb77aa82b71e13b28b2bc20055485aaabdf538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dfb33daeb016f4a6f7ee40033bbbd981e178fd04f76d6d62aa3da3be3689e48",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-24T14:48:52Z",
    "title_canon_sha256": "61ae1ca6c2ba1cfc1d06ddb99f89011d90b93250b10e0ba0a172097ce5f24cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5393",
    "kind": "arxiv",
    "version": 2
  }
}