Pith Number

pith:CUMSZU4H

pith:2018:CUMSZU4HIMZ2ERA2PJYP6SIUPK

not attested not anchored not stored refs pending

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

Hiranya Kishore Dey, Sivaramakrishnan Sivasubramanian

arxiv:1812.01927 v1 · 2018-12-05 · 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{CUMSZU4HIMZ2ERA2PJYP6SIUPK}

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	2026-05-17T23:59:00.221764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15192cd3874333a2441a7a70ff49147aaaf07cc1eecea2764c35bc20a63b1a49

Aliases

arxiv: 1812.01927 · arxiv_version: 1812.01927v1 · doi: 10.48550/arxiv.1812.01927 · pith_short_12: CUMSZU4HIMZ2 · pith_short_16: CUMSZU4HIMZ2ERA2 · pith_short_8: CUMSZU4H

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/CUMSZU4HIMZ2ERA2PJYP6SIUPK \
  | 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: 15192cd3874333a2441a7a70ff49147aaaf07cc1eecea2764c35bc20a63b1a49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ef4d0ef393b8d616dc6a26160144490d1b8b8ee6f4dcdc3fdd9ef21e8c60654",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-05T11:49:16Z",
    "title_canon_sha256": "75f595128832f4b9235729cbaf534a517c22e3ec87765af1efb117e8d4a343b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01927",
    "kind": "arxiv",
    "version": 1
  }
}