Pith Number

pith:O74FPSKJ

pith:2019:O74FPSKJS6ZYOPOB7KJ76I6KET

not attested not anchored not stored refs pending

Finite automata, probabilistic method, and occurrence enumeration of a pattern in words and permutations

Alexander Roitershtein, Reza Rastegar, Toufik Mansour

arxiv:1905.05646 v1 · 2019-05-14 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O74FPSKJS6ZYOPOB7KJ76I6KET}

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	2026-05-17T23:46:13.939285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77f857c94997b3873dc1fa93ff23ca24c0c14b9780925652804ca8cb50faacc5

Aliases

arxiv: 1905.05646 · arxiv_version: 1905.05646v1 · doi: 10.48550/arxiv.1905.05646 · pith_short_12: O74FPSKJS6ZY · pith_short_16: O74FPSKJS6ZYOPOB · pith_short_8: O74FPSKJ

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/O74FPSKJS6ZYOPOB7KJ76I6KET \
  | 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: 77f857c94997b3873dc1fa93ff23ca24c0c14b9780925652804ca8cb50faacc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b720c35a46d929560bd2256bcdad54165d429e8bbb27a96959152ba89c5266aa",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-14T14:41:54Z",
    "title_canon_sha256": "ae613a5a868e93e4d3b19a10265235bd54716bd522f5386b38ed0c7981555d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05646",
    "kind": "arxiv",
    "version": 1
  }
}