Pith Number

pith:5ARNXU2W

pith:2018:5ARNXU2WBTC76HBVR6YZRJGYGS

not attested not anchored not stored refs pending

On a dynamical approach to some prime number sequences

Bartolo Luque, Ignacio G\'omez, Lucas Lacasa, Octavio Miramontes

arxiv:1802.08349 v1 · 2018-02-22 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ARNXU2WBTC76HBVR6YZRJGYGS}

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	2026-05-18T00:22:43.921254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e822dbd3560cc5ff1c358fb198a4d834be26f10204312f24b7d282f149bed95f

Aliases

arxiv: 1802.08349 · arxiv_version: 1802.08349v1 · doi: 10.48550/arxiv.1802.08349 · pith_short_12: 5ARNXU2WBTC7 · pith_short_16: 5ARNXU2WBTC76HBV · pith_short_8: 5ARNXU2W

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/5ARNXU2WBTC76HBVR6YZRJGYGS \
  | 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: e822dbd3560cc5ff1c358fb198a4d834be26f10204312f24b7d282f149bed95f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3679a1d1e549ee0944adca9ee82c2244a5e3607c1d6c1a8f8918643aad70ecc5",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-22T23:52:09Z",
    "title_canon_sha256": "482ec7d9ed5bd2bc92568f18816e60909f79781733609316a5e60c63649d1612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08349",
    "kind": "arxiv",
    "version": 1
  }
}