Pith Number

pith:3OQUFLXE

pith:2019:3OQUFLXEKMKLO7P7GVKPVMUE4Q

not attested not anchored not stored refs pending

Thue-Morse-Sturmian words and critical bases for ternary alphabets

Wolfgang Steiner (IRIF)

arxiv:1902.07078 v1 · 2019-02-19 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OQUFLXEKMKLO7P7GVKPVMUE4Q}

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	2026-05-17T23:53:39.982196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dba142aee45314b77dff3554fab284e43b9dfadf585061143b0efcea9157c221

Aliases

arxiv: 1902.07078 · arxiv_version: 1902.07078v1 · doi: 10.48550/arxiv.1902.07078 · pith_short_12: 3OQUFLXEKMKL · pith_short_16: 3OQUFLXEKMKLO7P7 · pith_short_8: 3OQUFLXE

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/3OQUFLXEKMKLO7P7GVKPVMUE4Q \
  | 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: dba142aee45314b77dff3554fab284e43b9dfadf585061143b0efcea9157c221

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d8a704075a487daee649d17e7e6df042ab8fb7a86530bc7ad7db2333a7a0de",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-02-19T14:51:15Z",
    "title_canon_sha256": "4b40be20bec9d2c4728b9c481bd971656a51c84b56d5d43be89f024cc0a7cf50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07078",
    "kind": "arxiv",
    "version": 1
  }
}