Pith Number

pith:YEE723T3

pith:2013:YEE723T3VVV2FCD4MQWGQCLCOC

not attested not anchored not stored refs pending

Weak abelian periodicity of infinite words

Sergey Avgustinovich, Svetlana Puzynina

arxiv:1302.4359 v1 · 2013-02-18 · math.CO · 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{YEE723T3VVV2FCD4MQWGQCLCOC}

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	2026-05-18T03:33:23.297751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c109fd6e7bad6ba2887c642c680962708b45797d9c3192c925cf4d63d19a77de

Aliases

arxiv: 1302.4359 · arxiv_version: 1302.4359v1 · doi: 10.48550/arxiv.1302.4359 · pith_short_12: YEE723T3VVV2 · pith_short_16: YEE723T3VVV2FCD4 · pith_short_8: YEE723T3

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/YEE723T3VVV2FCD4MQWGQCLCOC \
  | 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: c109fd6e7bad6ba2887c642c680962708b45797d9c3192c925cf4d63d19a77de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445bc3a39875865bb9fab42c65b6338bc0ba4abfd1c598ad465db1583edff9d3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-18T17:20:54Z",
    "title_canon_sha256": "475e63e4aa2ac52aebbb2353cd7d09fcd698d34af4a90609769ad51a0999b778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4359",
    "kind": "arxiv",
    "version": 1
  }
}