Pith Number

pith:GNLQBG4O

pith:2018:GNLQBG4OWQGMF4AEWRKCWA2BOF

not attested not anchored not stored refs pending

The structure factor of primes

Fausto Martelli, Ge Zhang, Salvatore Torquato

arxiv:1801.01541 v2 · 2018-01-04 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNLQBG4OWQGMF4AEWRKCWA2BOF}

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	2026-05-18T00:23:20.829894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3357009b8eb40cc2f004b4542b0341716ed32f9aeab6ee841c3070811cf64469

Aliases

arxiv: 1801.01541 · arxiv_version: 1801.01541v2 · doi: 10.48550/arxiv.1801.01541 · pith_short_12: GNLQBG4OWQGM · pith_short_16: GNLQBG4OWQGMF4AE · pith_short_8: GNLQBG4O

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/GNLQBG4OWQGMF4AEWRKCWA2BOF \
  | 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: 3357009b8eb40cc2f004b4542b0341716ed32f9aeab6ee841c3070811cf64469

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5ceebebbceaed97ccbc6cc11774e9fdf34e6267eaabc1a1c9f1491822eb9968",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-01-04T20:39:42Z",
    "title_canon_sha256": "917f3e6d72e5788179ef23835e0382935fc51ccf1612b62a8beb9a7e1eefe38f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01541",
    "kind": "arxiv",
    "version": 2
  }
}