Pith Number

pith:N575XNK7

pith:2026:N575XNK7GQ67DYQAXKF6OELN7A

not attested not anchored not stored refs pending

On abelian periodicity of purely morphic words

Arina Filimonova, Svetlana Puzynina

arxiv:2605.30306 v1 · 2026-05-28 · 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{N575XNK7GQ67DYQAXKF6OELN7A}

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	2026-05-29T02:06:15.813018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f7fdbb55f343df1e200ba8be7116df806a07744e3f180a75b99d480e9d3d02f

Aliases

arxiv: 2605.30306 · arxiv_version: 2605.30306v1 · doi: 10.48550/arxiv.2605.30306 · pith_short_12: N575XNK7GQ67 · pith_short_16: N575XNK7GQ67DYQA · pith_short_8: N575XNK7

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/N575XNK7GQ67DYQAXKF6OELN7A \
  | 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: 6f7fdbb55f343df1e200ba8be7116df806a07744e3f180a75b99d480e9d3d02f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fd5cc9bccf65f9ff9eb67d51f5aba5bca27cf0b54120b81cea533aeb1be005e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2026-05-28T17:51:18Z",
    "title_canon_sha256": "3cc930c05bccd6f01b4b5fa058011bd68cc04bc424d3fc2627b2ea6b4dd29a80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30306",
    "kind": "arxiv",
    "version": 1
  }
}