Pith Number

pith:AVWYTOCC

pith:2019:AVWYTOCCGTPEGVSFLZGJTLVS4P

not attested not anchored not stored refs pending

State complexity of the multiples of the Thue-Morse set

Adeline Massuir, C\'elia Cisternino, \'Emilie Charlier

arxiv:1903.06114 v1 · 2019-03-10 · 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{AVWYTOCCGTPEGVSFLZGJTLVS4P}

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	2026-05-17T23:51:15.327591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

056d89b84234de4356455e4c99aeb2e3fc9065d19df8d9446bb3059fdb1dc809

Aliases

arxiv: 1903.06114 · arxiv_version: 1903.06114v1 · doi: 10.48550/arxiv.1903.06114 · pith_short_12: AVWYTOCCGTPE · pith_short_16: AVWYTOCCGTPEGVSF · pith_short_8: AVWYTOCC

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/AVWYTOCCGTPEGVSFLZGJTLVS4P \
  | 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: 056d89b84234de4356455e4c99aeb2e3fc9065d19df8d9446bb3059fdb1dc809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9500afc5ed427e603036bdd23e113164c259fe63f793100d3f7e66c5b89d7f3a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2019-03-10T15:27:07Z",
    "title_canon_sha256": "08bea25c89ea65a4bb3f417e94e0de682c0283fe5182519ec4f539a22a48ea50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06114",
    "kind": "arxiv",
    "version": 1
  }
}