Pith Number

pith:FX53P2AD

pith:2025:FX53P2ADGPJKUOWTZ4TNKH7P22

not attested not anchored not stored refs pending

The Affine Tamari Lattice

Colin Defant, Grant Barkley

arxiv:2502.07198 v1 · 2025-02-11 · math.CO · math.RA · 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{FX53P2ADGPJKUOWTZ4TNKH7P22}

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

2 papers in Pith

Flip of lattices

A generalization in affine type A of Coxeter sortable elements and Reading's bijection with noncrossing partitions

Receipt and verification

First computed	2026-07-05T10:12:34.168531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dfbb7e80333d2aa3ad3cf26d51fefd6aba21bd4e1bfef8c0f9b58129994aa76

Aliases

arxiv: 2502.07198 · arxiv_version: 2502.07198v1 · doi: 10.48550/arxiv.2502.07198 · pith_short_12: FX53P2ADGPJK · pith_short_16: FX53P2ADGPJKUOWT · pith_short_8: FX53P2AD

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/FX53P2ADGPJKUOWTZ4TNKH7P22 \
  | 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: 2dfbb7e80333d2aa3ad3cf26d51fefd6aba21bd4e1bfef8c0f9b58129994aa76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d43e5590cbe25fdba81e8b61d1d6aed5895f156e9765edc97e2dfd5e3245aff8",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-11T02:43:13Z",
    "title_canon_sha256": "bd98fb686e405b2a039f4c6b55867fd50e46b25ff86d382794d5bad0c99bd4b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07198",
    "kind": "arxiv",
    "version": 1
  }
}