Pith Number

pith:HBSAKJGA

pith:2025:HBSAKJGACP3OCBSNPO7K2GSSCC

not attested not anchored not stored refs pending

Enumeration in the lattice of $q$-decreasing words

Jean-Luc Baril, Nathana\"el Hassler, Sergey Kirgizov

arxiv:2511.09480 v2 · 2025-11-12 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBSAKJGACP3OCBSNPO7K2GSSCC}

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	2026-06-19T16:12:16.206339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38640524c013f6e1064d7bbead1a5210913df0eab5f786eecb2369382d5fc2a2

Aliases

arxiv: 2511.09480 · arxiv_version: 2511.09480v2 · doi: 10.48550/arxiv.2511.09480 · pith_short_12: HBSAKJGACP3O · pith_short_16: HBSAKJGACP3OCBSN · pith_short_8: HBSAKJGA

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/HBSAKJGACP3OCBSNPO7K2GSSCC \
  | 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: 38640524c013f6e1064d7bbead1a5210913df0eab5f786eecb2369382d5fc2a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa4db3e9e674cd98d6ecb1d028e1382796cbaf9cad61ff873f2faa55d682dfb2",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-11-12T16:51:44Z",
    "title_canon_sha256": "90b81b85db8cd478e82e0442e7f613c2bb7eac9f1e3bb2f156143f6a1c5be2c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.09480",
    "kind": "arxiv",
    "version": 2
  }
}