Pith Number

pith:YWNQNUIS

pith:2012:YWNQNUIS6GYWMO2PALQ6645Q67

not attested not anchored not stored refs pending

Positivity of Toeplitz determinants formed by rising factorial series and properties of related polynomials

Dmitry Karp

arxiv:1203.1482 v1 · 2012-03-07 · math.CA · 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{YWNQNUIS6GYWMO2PALQ6645Q67}

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	2026-05-18T04:00:38.612302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c59b06d112f1b1663b4f02e1ef73b0f7ce637caba8d8c25023340f0eedc978a5

Aliases

arxiv: 1203.1482 · arxiv_version: 1203.1482v1 · doi: 10.48550/arxiv.1203.1482 · pith_short_12: YWNQNUIS6GYW · pith_short_16: YWNQNUIS6GYWMO2P · pith_short_8: YWNQNUIS

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/YWNQNUIS6GYWMO2PALQ6645Q67 \
  | 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: c59b06d112f1b1663b4f02e1ef73b0f7ce637caba8d8c25023340f0eedc978a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c2e6134c36212172c359448735514b85734aff918ccc0483258afbe3d49f9a0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-07T14:19:11Z",
    "title_canon_sha256": "2829df14fe6d1d52d3b2bfb76d857e4fc92d8cbf2dc673b7382b1240fd51b9f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1482",
    "kind": "arxiv",
    "version": 1
  }
}