Pith Number

pith:3OAGHUCE

pith:2017:3OAGHUCE2I5OEHWLK6YH2J624G

not attested not anchored not stored refs pending

Counting Subwords Occurrences in Base-b Expansions

Julien Leroy, Manon Stipulanti, Michel Rigo

arxiv:1705.10065 v1 · 2017-05-29 · 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{3OAGHUCE2I5OEHWLK6YH2J624G}

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	2026-05-18T00:13:11.199208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db8063d044d23ae21ecb57b07d27dae1bca846d859dd880e0dfd4b0a3dbb09ec

Aliases

arxiv: 1705.10065 · arxiv_version: 1705.10065v1 · doi: 10.48550/arxiv.1705.10065 · pith_short_12: 3OAGHUCE2I5O · pith_short_16: 3OAGHUCE2I5OEHWL · pith_short_8: 3OAGHUCE

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/3OAGHUCE2I5OEHWLK6YH2J624G \
  | 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: db8063d044d23ae21ecb57b07d27dae1bca846d859dd880e0dfd4b0a3dbb09ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4451897402f1000a4d6ebd01a332d5d082e3e19972c617ee8671dbf9249933f0",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-29T08:25:50Z",
    "title_canon_sha256": "6e9b554cf33ec1dbc8cdf2c1d6b140731a08588218e72d395e3390e8d57bd37e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10065",
    "kind": "arxiv",
    "version": 1
  }
}