Pith Number

pith:ELWCND5Z

pith:2013:ELWCND5ZFPZMI5RDPBIL4YIDW2

not attested not anchored not stored refs pending

The unimodality of a polynomial coming from a rational integral. Back to the original proof

Atul Dixit, Lin Jiu, Tewodros Amdeberhan, Victor H. Moll, Xiao Guan

arxiv:1304.7872 v1 · 2013-04-30 · math.CA · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELWCND5ZFPZMI5RDPBIL4YIDW2}

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	2026-05-18T03:26:51.554226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22ec268fb92bf2c476237850be6103b696f98f0a13aa455fa9578b5f809133ba

Aliases

arxiv: 1304.7872 · arxiv_version: 1304.7872v1 · doi: 10.48550/arxiv.1304.7872 · pith_short_12: ELWCND5ZFPZM · pith_short_16: ELWCND5ZFPZMI5RD · pith_short_8: ELWCND5Z

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/ELWCND5ZFPZMI5RDPBIL4YIDW2 \
  | 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: 22ec268fb92bf2c476237850be6103b696f98f0a13aa455fa9578b5f809133ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d6fe4ee433b29f70d55bd2ee2a6f4c4460492abc61a67e880910e8727658068",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-30T04:38:00Z",
    "title_canon_sha256": "5958051eb0aa86e28295b9bcc3a0e19603c9060b042a8adddcbba5a0daff8bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7872",
    "kind": "arxiv",
    "version": 1
  }
}