Pith Number

pith:QNKUURBL

pith:2017:QNKUURBL46PHCRLWFHE7CWVCYO

not attested not anchored not stored refs pending

Combinatorics of generalized exponents

Cedric Lecouvey, Cristian Lenart

arxiv:1707.03314 v2 · 2017-07-11 · math.RT · 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{QNKUURBL46PHCRLWFHE7CWVCYO}

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	2026-05-18T00:27:00.411817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83554a442be79e71457629c9f15aa2c39754fad4b0df9aa4dca0f5aee8aa30c1

Aliases

arxiv: 1707.03314 · arxiv_version: 1707.03314v2 · doi: 10.48550/arxiv.1707.03314 · pith_short_12: QNKUURBL46PH · pith_short_16: QNKUURBL46PHCRLW · pith_short_8: QNKUURBL

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/QNKUURBL46PHCRLWFHE7CWVCYO \
  | 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: 83554a442be79e71457629c9f15aa2c39754fad4b0df9aa4dca0f5aee8aa30c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a2271a6871f99573c7a7a1cdc4eb576621a8db0e731f96e7e40ed3188a92847",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-07-11T15:10:37Z",
    "title_canon_sha256": "0a401cc800581477d5fe806058c1baec4c92309a8a2f7b591ae360fbe73677fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03314",
    "kind": "arxiv",
    "version": 2
  }
}