Pith Number

pith:2WC3WNSB

pith:2025:2WC3WNSBKIQEVY5UBJHZQEKMFH

not attested not anchored not stored refs pending

Preorders on maximal chains: hyperplane arrangements, Cambrian lattices, and maximal green sequences

Mikhail Gorsky, Nicholas J. Williams

arxiv:2506.08858 v1 · 2025-06-10 · math.CO · 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{2WC3WNSBKIQEVY5UBJHZQEKMFH}

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	2026-07-05T11:19:14.294042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d585bb364152204ae3b40a4f98114c29f0dc7427d1e34b61303ccaca7cd3b2ca

Aliases

arxiv: 2506.08858 · arxiv_version: 2506.08858v1 · doi: 10.48550/arxiv.2506.08858 · pith_short_12: 2WC3WNSBKIQE · pith_short_16: 2WC3WNSBKIQEVY5U · pith_short_8: 2WC3WNSB

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/2WC3WNSBKIQEVY5UBJHZQEKMFH \
  | 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: d585bb364152204ae3b40a4f98114c29f0dc7427d1e34b61303ccaca7cd3b2ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a7b80dae66285e8b56b9fda72475df292d04af7b412f16871438200f08e9284",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-10T14:48:25Z",
    "title_canon_sha256": "9bef7945afa7a96c54643a911437988ecc04c10fae6cf3c72101e9eaec0ab7e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08858",
    "kind": "arxiv",
    "version": 1
  }
}