Pith Number

pith:HDV6I6JK

pith:2015:HDV6I6JKQO7T4EBZL6473NCCCV

not attested not anchored not stored refs pending

The Least Prime Number in a Beatty Sequence

J\"orn Steuding, Marc Technau

arxiv:1512.08382 v2 · 2015-12-28 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HDV6I6JKQO7T4EBZL6473NCCCV}

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	2026-05-18T01:10:38.104071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ebe4792a83bf3e10395fb9fdb44215677c124ec218de9da006b9af868cbe01

Aliases

arxiv: 1512.08382 · arxiv_version: 1512.08382v2 · doi: 10.48550/arxiv.1512.08382 · pith_short_12: HDV6I6JKQO7T · pith_short_16: HDV6I6JKQO7T4EBZ · pith_short_8: HDV6I6JK

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/HDV6I6JKQO7T4EBZL6473NCCCV \
  | 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: 38ebe4792a83bf3e10395fb9fdb44215677c124ec218de9da006b9af868cbe01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74ccc8c98216eaa25b69fff2a922c9a209537f62abe055d8df1a85ae49088286",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-28T12:01:09Z",
    "title_canon_sha256": "b7e62dc262c9ede8f1015649b4f18d406fafb0540988aed29a2f3ee5174800da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08382",
    "kind": "arxiv",
    "version": 2
  }
}