Pith Number

pith:J4LZNIQD

pith:2014:J4LZNIQDUXOXCMRZW64NV2FUUC

not attested not anchored not stored refs pending

Operators of equivalent sorting power and related Wilf-equivalences

Mathilde Bouvel, Michael Albert

arxiv:1402.2034 v1 · 2014-02-10 · 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{J4LZNIQDUXOXCMRZW64NV2FUUC}

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	2026-05-18T02:59:32.566532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1796a203a5dd713239b7b8dae8b4a0967c2f216b1b0a7848e67bad4d984cf1

Aliases

arxiv: 1402.2034 · arxiv_version: 1402.2034v1 · doi: 10.48550/arxiv.1402.2034 · pith_short_12: J4LZNIQDUXOX · pith_short_16: J4LZNIQDUXOXCMRZ · pith_short_8: J4LZNIQD

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/J4LZNIQDUXOXCMRZW64NV2FUUC \
  | 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: 4f1796a203a5dd713239b7b8dae8b4a0967c2f216b1b0a7848e67bad4d984cf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75923fb9417322bf0b217090f39b246114af24c2cbead8a7756403e60deb045a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-10T04:43:29Z",
    "title_canon_sha256": "43438d996a56abbb386c73a61308fc8f1c17edcc85a3059ffea2b96f4a8bffea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2034",
    "kind": "arxiv",
    "version": 1
  }
}