Pith Number

pith:BSDS4K3T

pith:2018:BSDS4K3TNUAQHSOQBANAH7PMCB

not attested not anchored not stored refs pending

Hidden Multiscale Order in the Primes

Ge Zhang, Matthew de Courcy-Ireland, Salvatore Torquato

arxiv:1804.06279 v2 · 2018-04-16 · 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{BSDS4K3TNUAQHSOQBANAH7PMCB}

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	2026-05-17T23:45:38.658519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c872e2b736d0103c9d0081a03fdec1065da29b9884a17fbcca7aa01de2117c3

Aliases

arxiv: 1804.06279 · arxiv_version: 1804.06279v2 · doi: 10.48550/arxiv.1804.06279 · pith_short_12: BSDS4K3TNUAQ · pith_short_16: BSDS4K3TNUAQHSOQ · pith_short_8: BSDS4K3T

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/BSDS4K3TNUAQHSOQBANAH7PMCB \
  | 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: 0c872e2b736d0103c9d0081a03fdec1065da29b9884a17fbcca7aa01de2117c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15f441cda3a367e7944feb7198a374205c12dd9673e65c62495aafa3f0e13951",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-16T00:49:02Z",
    "title_canon_sha256": "a518338a44198732cbaf4e311580bb8f0e8d3dbc5672819042e9ae203ec7f28a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06279",
    "kind": "arxiv",
    "version": 2
  }
}