Pith Number

pith:JVJ4KW7A

pith:2014:JVJ4KW7ALR6U2B2BBVAUTSEYNM

not attested not anchored not stored refs pending

Nodal intersections for random eigenfunctions on the torus

Igor Wigman, Zeev Rudnick

arxiv:1402.3621 v2 · 2014-02-14 · math-ph · math.MP · 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{JVJ4KW7ALR6U2B2BBVAUTSEYNM}

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	2026-05-18T02:48:46.321394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d53c55be05c7d4d07410d4149c8986b23aa8c4bd67073e09d5b81268e9bdc5f

Aliases

arxiv: 1402.3621 · arxiv_version: 1402.3621v2 · doi: 10.48550/arxiv.1402.3621 · pith_short_12: JVJ4KW7ALR6U · pith_short_16: JVJ4KW7ALR6U2B2B · pith_short_8: JVJ4KW7A

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/JVJ4KW7ALR6U2B2BBVAUTSEYNM \
  | 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: 4d53c55be05c7d4d07410d4149c8986b23aa8c4bd67073e09d5b81268e9bdc5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cccb2cb74658944e1b973824908e8ff0342b2393245dcf41b7cb7e287ee7fbcd",
    "cross_cats_sorted": [
      "math.MP",
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-02-14T23:20:31Z",
    "title_canon_sha256": "d3d356430e194da15a36c3a287e4bce97a565332338a456efcc72f5bb1830ae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3621",
    "kind": "arxiv",
    "version": 2
  }
}