Pith Number

pith:VYOATWSO

pith:2025:VYOATWSOZO6FYHZJHJMUSMLZ5M

not attested not anchored not stored refs pending

Rowmotion and Echelonmotion

Adrien Segovia, Colin Defant, David E Speyer, Hugh Thomas, Nathan Williams, Rene Marczinzik, Yuhan Jiang

arxiv:2507.18230 v1 · 2025-07-24 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYOATWSOZO6FYHZJHJMUSMLZ5M}

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

4 papers in Pith

$(P,\phi)$-Tamari and higher torsion lattices of type $\mathbf{A}$

Short Proofs in Algebraic and Enumerative Combinatorics

Receipt and verification

First computed	2026-07-05T11:42:44.123584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae1c09da4ecbbc5c1f293a59493179eb3c76c1a3d01d8cf4bcb0d261dbd9b487

Aliases

arxiv: 2507.18230 · arxiv_version: 2507.18230v1 · doi: 10.48550/arxiv.2507.18230 · pith_short_12: VYOATWSOZO6F · pith_short_16: VYOATWSOZO6FYHZJ · pith_short_8: VYOATWSO

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/VYOATWSOZO6FYHZJHJMUSMLZ5M \
  | 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: ae1c09da4ecbbc5c1f293a59493179eb3c76c1a3d01d8cf4bcb0d261dbd9b487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5b54c3aa25945d12eca206a3a6ca34ab380ca930cf2ae6aff4ea238f6f3b85f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-24T09:21:14Z",
    "title_canon_sha256": "047220f4836bd2e291051f7fdb7bafa51f4e743207c45cf88821bbdb3804ccee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18230",
    "kind": "arxiv",
    "version": 1
  }
}