Pith Number

pith:GWQKLTWT

pith:2017:GWQKLTWTO2FBE3TPCMDTIENP2E

not attested not anchored not stored refs pending

Random waves on $\mathbb{T}^3$: nodal area variance and lattice point correlations

Jacques Benatar, Riccardo W. Maffucci

arxiv:1708.07015 v1 · 2017-08-23 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWQKLTWTO2FBE3TPCMDTIENP2E}

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	2026-05-18T00:36:48.624380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35a0a5ced3768a126e6f13073411afd12754cc4246dfb5b7acc36b9af667b3bc

Aliases

arxiv: 1708.07015 · arxiv_version: 1708.07015v1 · doi: 10.48550/arxiv.1708.07015 · pith_short_12: GWQKLTWTO2FB · pith_short_16: GWQKLTWTO2FBE3TP · pith_short_8: GWQKLTWT

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/GWQKLTWTO2FBE3TPCMDTIENP2E \
  | 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: 35a0a5ced3768a126e6f13073411afd12754cc4246dfb5b7acc36b9af667b3bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "039730c22a1a8343264fcf8d058b91d41e8c2254e8a8227bf4e2e10a521bee5e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-23T14:20:02Z",
    "title_canon_sha256": "d5b01ee726968cfb8020d73029d31e9d36df46160d88684f1e82c5a61bf7bba1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07015",
    "kind": "arxiv",
    "version": 1
  }
}