Pith Number

pith:DHZQ4S4M

pith:2018:DHZQ4S4MAYJLRCXGEFSJTJ4SOK

not attested not anchored not stored refs pending

Computing the $k$-binomial complexity of the Thue--Morse word

Julien Leroy, Marie Lejeune, Michel Rigo

arxiv:1812.07330 v1 · 2018-12-18 · 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{DHZQ4S4MAYJLRCXGEFSJTJ4SOK}

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	2026-05-17T23:58:00.792548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19f30e4b8c0612b88ae6216499a792729d3597841b44c4761abd6addff970492

Aliases

arxiv: 1812.07330 · arxiv_version: 1812.07330v1 · doi: 10.48550/arxiv.1812.07330 · pith_short_12: DHZQ4S4MAYJL · pith_short_16: DHZQ4S4MAYJLRCXG · pith_short_8: DHZQ4S4M

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/DHZQ4S4MAYJLRCXGEFSJTJ4SOK \
  | 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: 19f30e4b8c0612b88ae6216499a792729d3597841b44c4761abd6addff970492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65f9e4b9c049ea7f8bb8aec69eb562f5b15a2e0c9fd262aca62358a6c0aaaca1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-12-18T12:39:42Z",
    "title_canon_sha256": "877bec4693417e87ffd4f914bdbf840be9e9129f46745e37152722398e657ff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07330",
    "kind": "arxiv",
    "version": 1
  }
}