Pith Number

pith:PZYA5IIQ

pith:2006:PZYA5IIQ3UKMV5YD6F45NC2P7Y

not attested not anchored not stored refs pending

Asymptotics of unitary and othogonal matrix integrals

Alice Guionnet, Benoit Collins, Edouard Maurel-Segala

arxiv:math/0608193 v3 · 2006-08-08 · 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{PZYA5IIQ3UKMV5YD6F45NC2P7Y}

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	2026-05-17T23:52:34.620761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e700ea110dd14caf703f179d68b4ffe09b9be2341a353f881dae1480a568b18

Aliases

arxiv: math/0608193 · arxiv_version: math/0608193v3 · doi: 10.48550/arxiv.math/0608193 · pith_short_12: PZYA5IIQ3UKM · pith_short_16: PZYA5IIQ3UKMV5YD · pith_short_8: PZYA5IIQ

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/PZYA5IIQ3UKMV5YD6F45NC2P7Y \
  | 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: 7e700ea110dd14caf703f179d68b4ffe09b9be2341a353f881dae1480a568b18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28948b1dde74578517d7fe0be44fc5d7c11f71717658189d617e223998b9e894",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2006-08-08T08:24:26Z",
    "title_canon_sha256": "ac5802b8e2c99c665c9fbddb828f55132a441605e3713c51804c4485ebf1a54b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608193",
    "kind": "arxiv",
    "version": 3
  }
}