Pith Number

pith:ZFP5UBTF

pith:2015:ZFP5UBTFQGE3E75GPRLQH4ULSQ

not attested not anchored not stored refs pending

The Real-rootedness of Eulerian Polynomials via the Hermite--Biehler Theorem

Arthur L.B. Yang, Philip B. Zhang

arxiv:1501.05824 v2 · 2015-01-23 · math.CO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFP5UBTFQGE3E75GPRLQH4ULSQ}

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	2026-05-18T02:18:51.335828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c95fda06658189b27fa67c5703f28b94017ba00afc612393e6bc7da4b3fe1cb9

Aliases

arxiv: 1501.05824 · arxiv_version: 1501.05824v2 · doi: 10.48550/arxiv.1501.05824 · pith_short_12: ZFP5UBTFQGE3 · pith_short_16: ZFP5UBTFQGE3E75G · pith_short_8: ZFP5UBTF

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/ZFP5UBTFQGE3E75GPRLQH4ULSQ \
  | 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: c95fda06658189b27fa67c5703f28b94017ba00afc612393e6bc7da4b3fe1cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dd8540e45d066beee61d37809695d41de086faef7185a081f2fb79ddd2f8e5a",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-23T15:12:38Z",
    "title_canon_sha256": "2b8efbc67b6f011d1c3b57642b7fcbe9833d112a67897673dc57fe0248ed4b2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05824",
    "kind": "arxiv",
    "version": 2
  }
}