Pith Number

pith:HFZAWACM

pith:2013:HFZAWACMDRQWXXDADO3VZISICQ

not attested not anchored not stored refs pending

Central sets generated by uniformly recurrent words

Luca Q. Zamboni, Michelangelo Bucci, Svetlana Puzynina

arxiv:1301.5115 v1 · 2013-01-22 · math.CO · math.DS · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFZAWACMDRQWXXDADO3VZISICQ}

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	2026-05-18T03:35:52.995703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39720b004c1c616bdc601bb75ca2481417377d753fe964cfa4b7fd69d18ff380

Aliases

arxiv: 1301.5115 · arxiv_version: 1301.5115v1 · doi: 10.48550/arxiv.1301.5115 · pith_short_12: HFZAWACMDRQW · pith_short_16: HFZAWACMDRQWXXDA · pith_short_8: HFZAWACM

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/HFZAWACMDRQWXXDADO3VZISICQ \
  | 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: 39720b004c1c616bdc601bb75ca2481417377d753fe964cfa4b7fd69d18ff380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0f69a713ecc5a20884c79ae7213bf0b8f2a35d08011f8aa75ad32e8b7e10c7e",
    "cross_cats_sorted": [
      "math.DS",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-22T09:11:13Z",
    "title_canon_sha256": "149811fb95b2905a51eac37bc1f6c3108af62e3b0e20dc306af9085967cbcaf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5115",
    "kind": "arxiv",
    "version": 1
  }
}