Pith Number

pith:JOTB4OFS

pith:2012:JOTB4OFSM7FONQSTAIR33SIPY4

not attested not anchored not stored refs pending

Two new triangles of $q$-integers via $q$-Eulerian polynomials of type $A$ and $B$

Fr\'ed\'eric Jouhet, Guoniu Han, Jiang Zeng

arxiv:1203.6736 v1 · 2012-03-30 · 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{JOTB4OFSM7FONQSTAIR33SIPY4}

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	2026-05-18T03:59:00.800736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ba61e38b267cae6c2530223bdc90fc70773f95ebe4973b2e12de12bb5afd885

Aliases

arxiv: 1203.6736 · arxiv_version: 1203.6736v1 · doi: 10.48550/arxiv.1203.6736 · pith_short_12: JOTB4OFSM7FO · pith_short_16: JOTB4OFSM7FONQST · pith_short_8: JOTB4OFS

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/JOTB4OFSM7FONQSTAIR33SIPY4 \
  | 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: 4ba61e38b267cae6c2530223bdc90fc70773f95ebe4973b2e12de12bb5afd885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95412683fdffd199969a17640da909e9980e2c3f746674e99aae128b6a4c6d3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-30T08:11:51Z",
    "title_canon_sha256": "2a1eee7da977589ddd6dc45a6cd56909f57d88dd9f92e4def557bc5e707f520d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6736",
    "kind": "arxiv",
    "version": 1
  }
}