Pith Number

pith:G2NA4RIQ

pith:2025:G2NA4RIQ6C4OGCL64KC542R33O

not attested not anchored not stored refs pending

The Fourier coefficients of the critical holomorphic multiplicative chaos

Christopher Atherfold, Joseph Najnudel

arxiv:2508.13849 v1 · 2025-08-19 · math.PR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2NA4RIQ6C4OGCL64KC542R33O}

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	2026-07-05T11:56:23.802074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

369a0e4510f0b8e3097ee285de6a3bdb821c93c31445119aadc36f33edf7bf08

Aliases

arxiv: 2508.13849 · arxiv_version: 2508.13849v1 · doi: 10.48550/arxiv.2508.13849 · pith_short_12: G2NA4RIQ6C4O · pith_short_16: G2NA4RIQ6C4OGCL6 · pith_short_8: G2NA4RIQ

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/G2NA4RIQ6C4OGCL64KC542R33O \
  | 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: 369a0e4510f0b8e3097ee285de6a3bdb821c93c31445119aadc36f33edf7bf08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88469a67792ab755cbe66576d3692d4c4dbf3d84cc719f65f48f443ac1a2c283",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-19T14:10:53Z",
    "title_canon_sha256": "458505246f91ed93f49350abc86297f67c71bf0f7efd79d07a4c78607c15994a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.13849",
    "kind": "arxiv",
    "version": 1
  }
}