Pith Number

pith:AQVCHQTW

pith:2025:AQVCHQTWCD6U3HKK7KHCPLMPKN

not attested not anchored not stored refs pending

Global fluctuations for standard Young tableaux

Gabriel Raposo

arxiv:2507.18601 v2 · 2025-07-24 · math.PR · math-ph · math.CO · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQVCHQTWCD6U3HKK7KHCPLMPKN}

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	2026-07-05T12:09:21.886686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

042a23c27610fd4d9d4afa8e27ad8f537a7fbc806a15e244635cc60ba4916841

Aliases

arxiv: 2507.18601 · arxiv_version: 2507.18601v2 · doi: 10.48550/arxiv.2507.18601 · pith_short_12: AQVCHQTWCD6U · pith_short_16: AQVCHQTWCD6U3HKK · pith_short_8: AQVCHQTW

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/AQVCHQTWCD6U3HKK7KHCPLMPKN \
  | 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: 042a23c27610fd4d9d4afa8e27ad8f537a7fbc806a15e244635cc60ba4916841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ebaf4805472f51ff495c31dfbcd89e005cc619af819f583b7667b010186d840",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-24T17:33:08Z",
    "title_canon_sha256": "35d660c90a8868087b1260c51b6e7213906ad0170d1ddcfc2588d46e84b23aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18601",
    "kind": "arxiv",
    "version": 2
  }
}