Pith Number

pith:KUTHX5ZE

pith:2026:KUTHX5ZELYJVMHW26UDJZ24MNM

not attested not anchored not stored refs pending

The Thue-Morse Transform

Benoit Cloitre

arxiv:2604.06243 v2 · 2026-04-05 · 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{KUTHX5ZELYJVMHW26UDJZ24MNM}

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	2026-05-29T02:05:44.349504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55267bf7245e13561edaf5069ceb8c6b19ea46c0cf480b8819815be0dfeaa457

Aliases

arxiv: 2604.06243 · arxiv_version: 2604.06243v2 · doi: 10.48550/arxiv.2604.06243 · pith_short_12: KUTHX5ZELYJV · pith_short_16: KUTHX5ZELYJVMHW2 · pith_short_8: KUTHX5ZE

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/KUTHX5ZELYJVMHW26UDJZ24MNM \
  | 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: 55267bf7245e13561edaf5069ceb8c6b19ea46c0cf480b8819815be0dfeaa457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc9c31feffc779bef42e02296dbd28390257ee8fbfb5cd2a14ba33e2dac699c3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-04-05T21:26:40Z",
    "title_canon_sha256": "d01bcf325022dae8d9f1b94849e83114795702a0375a471228474844a2017d37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.06243",
    "kind": "arxiv",
    "version": 2
  }
}