Pith Number

pith:3HRYTV4H

pith:2015:3HRYTV4HAPJKEOAWHOVY5BJYNP

not attested not anchored not stored refs pending

On the enumeration of restricted words over a finite alphabet

Daniel Birmajer, Juan B. Gil, Michael D. Weiner

arxiv:1509.02209 v2 · 2015-09-07 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HRYTV4HAPJKEOAWHOVY5BJYNP}

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	2026-05-18T01:23:28.995796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9e389d78703d2a238163bab8e85386bed1e1f4dabc6e1e21739138f1b1717ed

Aliases

arxiv: 1509.02209 · arxiv_version: 1509.02209v2 · doi: 10.48550/arxiv.1509.02209 · pith_short_12: 3HRYTV4HAPJK · pith_short_16: 3HRYTV4HAPJKEOAW · pith_short_8: 3HRYTV4H

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/3HRYTV4HAPJKEOAWHOVY5BJYNP \
  | 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: d9e389d78703d2a238163bab8e85386bed1e1f4dabc6e1e21739138f1b1717ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9ae33416d01fe916249fbc62e1213581755ddacdfc50cfa90e8099eaf1698b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-07T22:25:40Z",
    "title_canon_sha256": "894a47d70bdf1241942e6833c949f39b56d3bd52ddcf808a86d7bdae94b1ca48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02209",
    "kind": "arxiv",
    "version": 2
  }
}