Pith Number

pith:M3IVEOAS

pith:2004:M3IVEOAS3UGNCC4BK6XOE7MM6V

not attested not anchored not stored refs pending

An asymptotic log-Fourier interpretation of the R-transform

Alice Guionnet, Mylene Maida

arxiv:math/0406121 v3 · 2004-06-07 · math.PR · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3IVEOAS3UGNCC4BK6XOE7MM6V}

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

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions

Receipt and verification

First computed	2026-07-04T14:38:41.479474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d1523812dd0cd10b8157aee27d8cf55b557c30b459243940b97a02cba8f6f3

Aliases

arxiv: math/0406121 · arxiv_version: math/0406121v3 · doi: 10.48550/arxiv.math/0406121 · pith_short_12: M3IVEOAS3UGN · pith_short_16: M3IVEOAS3UGNCC4B · pith_short_8: M3IVEOAS

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/M3IVEOAS3UGNCC4BK6XOE7MM6V \
  | 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: 66d1523812dd0cd10b8157aee27d8cf55b557c30b459243940b97a02cba8f6f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "304d642973da3dec43f924d2272c30a36da46db14b9f42354abc97b8e48876f6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-06-07T16:15:55Z",
    "title_canon_sha256": "8a161b59870280e56ec773bd9fc42713037cedaf0a087aa4a1f153ded6e59b8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406121",
    "kind": "arxiv",
    "version": 3
  }
}