Pith Number

pith:WWVMNBA3

pith:2013:WWVMNBA3WSHUXPM7XKWJVRMPW6

not attested not anchored not stored refs pending

Complete monotonicity for inverse powers of some combinatorially defined polynomials

Alan D. Sokal, Alexander D. Scott

arxiv:1301.2449 v3 · 2013-01-11 · math.CO · math-ph · math.CA · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWVMNBA3WSHUXPM7XKWJVRMPW6}

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	2026-05-18T02:32:14.560843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5aac6841bb48f4bbd9fbaac9ac58fb792d4ae8b7cf595c35f8a87f8b3f663dc

Aliases

arxiv: 1301.2449 · arxiv_version: 1301.2449v3 · doi: 10.48550/arxiv.1301.2449 · pith_short_12: WWVMNBA3WSHU · pith_short_16: WWVMNBA3WSHUXPM7 · pith_short_8: WWVMNBA3

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/WWVMNBA3WSHUXPM7XKWJVRMPW6 \
  | 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: b5aac6841bb48f4bbd9fbaac9ac58fb792d4ae8b7cf595c35f8a87f8b3f663dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4131565a72a101859ff8474dfc3ad5f7c8f2085a39bfeb4dfcbab5339c8cc15",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-11T10:56:46Z",
    "title_canon_sha256": "752272ab987415103001af889c60dbb02d79267235f3c32339ccfb4ef4cfd486"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2449",
    "kind": "arxiv",
    "version": 3
  }
}