Pith Number

pith:4KAKOJZE

pith:2024:4KAKOJZESEV3X56XN6RNOG3EOU

not attested not anchored not stored refs pending

Integral formulas for two-layer Schur and Whittaker processes

Guillaume Barraquand

arxiv:2409.08927 v2 · 2024-09-13 · math.PR · cond-mat.stat-mech · math-ph · 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{4KAKOJZESEV3X56XN6RNOG3EOU}

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

Invariant measures for half-space geometric LPP: classification and the one force--one solution principle

Receipt and verification

First computed	2026-07-05T09:10:32.578802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e280a72724912bbbf7d76fa2d71b64750fa40a610c5da5a0c4725d1c8295f4d6

Aliases

arxiv: 2409.08927 · arxiv_version: 2409.08927v2 · doi: 10.48550/arxiv.2409.08927 · pith_short_12: 4KAKOJZESEV3 · pith_short_16: 4KAKOJZESEV3X56X · pith_short_8: 4KAKOJZE

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/4KAKOJZESEV3X56XN6RNOG3EOU \
  | 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: e280a72724912bbbf7d76fa2d71b64750fa40a610c5da5a0c4725d1c8295f4d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e427b0b9bac4f748d2dcf51d2c97501e4a2fb2bb570b60fd3f2990f291aa4886",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-09-13T15:45:09Z",
    "title_canon_sha256": "eb3ba3a459a39221b0b1659d70612ce7591d5e8e7067d94173236b6f55984771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.08927",
    "kind": "arxiv",
    "version": 2
  }
}