Pith Number

pith:SKC5IQGI

pith:2018:SKC5IQGIU6XBAQ2QN45SXZ4HE7

not attested not anchored not stored refs pending

Gamma positivity of the Excedance based Eulerian polynomial in positive elements of Classical Weyl Groups

Hiranya Kishore Dey, Sivaramakrishnan Sivasubramanian

arxiv:1812.02742 v1 · 2018-12-06 · 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{SKC5IQGIU6XBAQ2QN45SXZ4HE7}

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	2026-05-17T23:58:51.971928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9285d440c8a7ae1043506f3b2be78727e22b1b4ff06bc9730a840980dd22624e

Aliases

arxiv: 1812.02742 · arxiv_version: 1812.02742v1 · doi: 10.48550/arxiv.1812.02742 · pith_short_12: SKC5IQGIU6XB · pith_short_16: SKC5IQGIU6XBAQ2Q · pith_short_8: SKC5IQGI

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/SKC5IQGIU6XBAQ2QN45SXZ4HE7 \
  | 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: 9285d440c8a7ae1043506f3b2be78727e22b1b4ff06bc9730a840980dd22624e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "857c5aed00d585ea27763481d225cf290214a6e330152e5e002b4dc7ad6905c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-06T14:35:50Z",
    "title_canon_sha256": "20ed20e5aa2c05e810367d9f3a312fac1ba00800538673f111b1790800107738"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02742",
    "kind": "arxiv",
    "version": 1
  }
}