Pith Number

pith:BEDSEQM3

pith:2016:BEDSEQM3F3KD2Q23LFL6UFNGF4

not attested not anchored not stored refs pending

Universality of the nodal length of bivariate random trigonometric polynomials

Guillaume Poly, Hung Pham Viet, J\"urgen Angst

arxiv:1610.05360 v1 · 2016-10-17 · 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{BEDSEQM3F3KD2Q23LFL6UFNGF4}

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	2026-05-18T01:01:59.531642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

090722419b2ed43d435b5957ea15a62f0c47d6de301c43087d73a05d6fdc1188

Aliases

arxiv: 1610.05360 · arxiv_version: 1610.05360v1 · doi: 10.48550/arxiv.1610.05360 · pith_short_12: BEDSEQM3F3KD · pith_short_16: BEDSEQM3F3KD2Q23 · pith_short_8: BEDSEQM3

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/BEDSEQM3F3KD2Q23LFL6UFNGF4 \
  | 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: 090722419b2ed43d435b5957ea15a62f0c47d6de301c43087d73a05d6fdc1188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08c0cc5496295523e8cc5f8ff213964492060328b404d52e823df5169678463f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-17T21:12:04Z",
    "title_canon_sha256": "14c00c7ea1d135503faca4e9db2a8f3fdfbfe9f718916bbcb10443d594a98fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05360",
    "kind": "arxiv",
    "version": 1
  }
}