Pith Number

pith:JINQTFJH

pith:2015:JINQTFJHPC4X3EPRICKHJIHSJY

not attested not anchored not stored refs pending

The density of primes dividing a particular non-linear recurrence sequence

Alexi Block Gorman, Heesu Hwang, Jeremy Rouse, Noam Kantor, Sarah Parsons, Tyler Genao

arxiv:1508.02464 v2 · 2015-08-11 · 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{JINQTFJHPC4X3EPRICKHJIHSJY}

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	2026-05-18T00:25:35.123124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a1b09952778b97d91f1409474a0f24e021a36334373e4c28b49031716cb1c9a

Aliases

arxiv: 1508.02464 · arxiv_version: 1508.02464v2 · doi: 10.48550/arxiv.1508.02464 · pith_short_12: JINQTFJHPC4X · pith_short_16: JINQTFJHPC4X3EPR · pith_short_8: JINQTFJH

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/JINQTFJHPC4X3EPRICKHJIHSJY \
  | 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: 4a1b09952778b97d91f1409474a0f24e021a36334373e4c28b49031716cb1c9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a2c6294673f682429e2ae233c3e107a5d2be7494627e0bd10fc8eb41753f8f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-11T01:24:16Z",
    "title_canon_sha256": "5d01891d1c69a559d82b7a6d5ebd92782ad709513a13a5970b466d1f5ba80e99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02464",
    "kind": "arxiv",
    "version": 2
  }
}