Pith Number

pith:2D5CANSG

pith:2018:2D5CANSG4N336X5S7NG3BGKNZX

not attested not anchored not stored refs pending

Multivariate Stable Eulerian Polynomials on Segmented Permutations

Philip B. Zhang, Xutong Zhang

arxiv:1807.00984 v2 · 2018-07-03 · 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{2D5CANSG4N336X5S7NG3BGKNZX}

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	2026-05-17T23:52:52.758805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0fa203646e377bf5fb2fb4db0994dcdc60c4214dd515216b19a36e3c4e9b650

Aliases

arxiv: 1807.00984 · arxiv_version: 1807.00984v2 · doi: 10.48550/arxiv.1807.00984 · pith_short_12: 2D5CANSG4N33 · pith_short_16: 2D5CANSG4N336X5S · pith_short_8: 2D5CANSG

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/2D5CANSG4N336X5S7NG3BGKNZX \
  | 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: d0fa203646e377bf5fb2fb4db0994dcdc60c4214dd515216b19a36e3c4e9b650

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daeb9c07cb9f0d90beaa25c8e61c0eed2290a2a4df86e8a591d503b9e0accf7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-03T05:36:04Z",
    "title_canon_sha256": "446c88ca1f7068b661ddbd242f15b18cecd32ace44d9a15cb65de36f120e6386"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00984",
    "kind": "arxiv",
    "version": 2
  }
}