Pith Number

pith:THRWAWKG

pith:2024:THRWAWKGYLJPFDBAO7AZVUTHL6

not attested not anchored not stored refs pending

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

Mingjie Tan, Yanqi Qiu, Zhaofeng Lin

arxiv:2411.13923 v3 · 2024-11-21 · math.PR · math-ph · math.DS · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THRWAWKGYLJPFDBAO7AZVUTHL6}

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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

Fourier dimension of imaginary Gaussian multiplicative chaos

Receipt and verification

First computed	2026-07-05T10:59:03.716465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99e3605946c2d2f28c2077c19ad2675f8a3cbad5ba4e94ae278ec5938445e732

Aliases

arxiv: 2411.13923 · arxiv_version: 2411.13923v3 · doi: 10.48550/arxiv.2411.13923 · pith_short_12: THRWAWKGYLJP · pith_short_16: THRWAWKGYLJPFDBA · pith_short_8: THRWAWKG

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/THRWAWKGYLJPFDBAO7AZVUTHL6 \
  | 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: 99e3605946c2d2f28c2077c19ad2675f8a3cbad5ba4e94ae278ec5938445e732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "466c9ea94906483c7a092fd81bcb18c207311f443e36520478420cd143ce9d88",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-21T08:18:37Z",
    "title_canon_sha256": "5a9f9a3140d7995b797ba6397c0eefb7f74a4ba62f8c09aaa07693139aa94bd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13923",
    "kind": "arxiv",
    "version": 3
  }
}