Pith Number

pith:4GLHCCIF

pith:2009:4GLHCCIFP6NCSADSOHRITMEJTL

not attested not anchored not stored refs pending

On the Morse-Hedlund complexity gap

Francois Nicolas, Julien Cassaigne

arxiv:0903.1627 v5 · 2009-03-09 · cs.FL · 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{4GLHCCIFP6NCSADSOHRITMEJTL}

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	2026-05-18T04:03:20.398928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1967109057f9a29007271e289b0899acfe7e649a6f90ec8b1bd45209c84c7fb

Aliases

arxiv: 0903.1627 · arxiv_version: 0903.1627v5 · doi: 10.48550/arxiv.0903.1627 · pith_short_12: 4GLHCCIFP6NC · pith_short_16: 4GLHCCIFP6NCSADS · pith_short_8: 4GLHCCIF

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/4GLHCCIFP6NCSADSOHRITMEJTL \
  | 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: e1967109057f9a29007271e289b0899acfe7e649a6f90ec8b1bd45209c84c7fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88bf87d6528d5068c73f1b300816697246ea1c429f1ce37560223e3c4fde8ebe",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2009-03-09T19:15:38Z",
    "title_canon_sha256": "9d93cec7b73c6a57f08048d7767969d4f2190b48697ec86c55447eeef441426b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1627",
    "kind": "arxiv",
    "version": 5
  }
}