Pith Number

pith:VOIXXTM4

pith:2023:VOIXXTM4JGNES3FDSXPMZROR7F

not attested not anchored not stored refs pending

Random analytic functions via Gaussian multiplicative chaos

Eero Saksman, Yichao Huang

arxiv:2306.07732 v1 · 2023-06-13 · math.PR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOIXXTM4JGNES3FDSXPMZROR7F}

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.

Cited by

1 paper in Pith

Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC

Receipt and verification

First computed	2026-07-05T06:20:08.142957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab917bcd9c499a496ca395deccc5d1f94510e1e04eacb7da41af5f7f1fdd4f0d

Aliases

arxiv: 2306.07732 · arxiv_version: 2306.07732v1 · doi: 10.48550/arxiv.2306.07732 · pith_short_12: VOIXXTM4JGNE · pith_short_16: VOIXXTM4JGNES3FD · pith_short_8: VOIXXTM4

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/VOIXXTM4JGNES3FDSXPMZROR7F \
  | 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: ab917bcd9c499a496ca395deccc5d1f94510e1e04eacb7da41af5f7f1fdd4f0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "201a8eb25e57ac1d50ee7fe16fb94a7965753c58070c2603717246349161314a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-06-13T12:38:23Z",
    "title_canon_sha256": "a77a0ac871e869d90e13fe105abdb9f3227c9994dd32032a855e3fb9f784250b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.07732",
    "kind": "arxiv",
    "version": 1
  }
}