Pith Number

pith:QA5UAHNR

pith:2018:QA5UAHNRD5PQYMHHAEJ3SLIJBV

not attested not anchored not stored refs pending

Uncovering Multiscale Order in the Prime Numbers via Scattering

G. Zhang, M. de Courcy-Ireland, S. Torquato

arxiv:1802.10498 v1 · 2018-02-28 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QA5UAHNRD5PQYMHHAEJ3SLIJBV}

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	2026-05-18T00:04:59.351994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

803b401db11f5f0c30e70113b92d090d488d618b66788cfa87c219f50ff89f8b

Aliases

arxiv: 1802.10498 · arxiv_version: 1802.10498v1 · doi: 10.48550/arxiv.1802.10498 · pith_short_12: QA5UAHNRD5PQ · pith_short_16: QA5UAHNRD5PQYMHH · pith_short_8: QA5UAHNR

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/QA5UAHNRD5PQYMHHAEJ3SLIJBV \
  | 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: 803b401db11f5f0c30e70113b92d090d488d618b66788cfa87c219f50ff89f8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c497c3bfb24cea830edf57eb2e1552fd097466794c0f87bce5448865df37b53a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-02-28T16:03:50Z",
    "title_canon_sha256": "8ac5ee521769c569d2d49598024db06a6638531ef93e6806877668102f707e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.10498",
    "kind": "arxiv",
    "version": 1
  }
}