Pith Number

pith:W5XCDYKH

pith:2025:W5XCDYKH4ERMIG4MVL65EIHHMN

not attested not anchored not stored refs pending

Combinatorics on bi-$\gamma$-positivity of $1/k$-Eulerian polynomials

Sherry H.F. Yan, Xubo Yang, Zhicong Lin

arxiv:2501.12055 v1 · 2025-01-21 · 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{W5XCDYKH4ERMIG4MVL65EIHHMN}

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	2026-07-05T10:03:31.224455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b76e21e147e122c41b8caafdd220e763731d2bb15f0eaca4ec4ade0f48e93bb1

Aliases

arxiv: 2501.12055 · arxiv_version: 2501.12055v1 · doi: 10.48550/arxiv.2501.12055 · pith_short_12: W5XCDYKH4ERM · pith_short_16: W5XCDYKH4ERMIG4M · pith_short_8: W5XCDYKH

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/W5XCDYKH4ERMIG4MVL65EIHHMN \
  | 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: b76e21e147e122c41b8caafdd220e763731d2bb15f0eaca4ec4ade0f48e93bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85bf81f76ee7d42cd6d5c8cae58eb54551da7048a883e7069e021d8904510ca1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-21T11:26:38Z",
    "title_canon_sha256": "2bfce1a7dcb3a0579354645e3b0428ef8e82788f6b5cf3443a68105d0b2ed6ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12055",
    "kind": "arxiv",
    "version": 1
  }
}