Pith Number

pith:Y6VMR4J2

pith:2024:Y6VMR4J2MMFGXBIKD3BSS4UWHO

not attested not anchored not stored refs pending

Grothendieck Shenanigans: Permutons from pipe dreams via integrable probability

Alejandro H. Morales, Damir Yeliussizov, Greta Panova, Leonid Petrov

arxiv:2407.21653 v2 · 2024-07-31 · math.PR · math-ph · math.CO · 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{Y6VMR4J2MMFGXBIKD3BSS4UWHO}

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

Permutons from Demazure Products

Receipt and verification

First computed	2026-07-05T10:49:45.868161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7aac8f13a630a6b850a1ec32972963baf7c693766f76106d7ded58a8eeaba5d

Aliases

arxiv: 2407.21653 · arxiv_version: 2407.21653v2 · doi: 10.48550/arxiv.2407.21653 · pith_short_12: Y6VMR4J2MMFG · pith_short_16: Y6VMR4J2MMFGXBIK · pith_short_8: Y6VMR4J2

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/Y6VMR4J2MMFGXBIKD3BSS4UWHO \
  | 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: c7aac8f13a630a6b850a1ec32972963baf7c693766f76106d7ded58a8eeaba5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa8084ac077e1a59a43d19f046d2add5a486beaa5b475eada6c213d6ffd97654",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-31T14:55:09Z",
    "title_canon_sha256": "3f751a28eb5126bb1ed40f66cfc5656e83e8e4a348c16be82a59983c2d1e6703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.21653",
    "kind": "arxiv",
    "version": 2
  }
}