Pith Number

pith:P35RA7FG

pith:2016:P35RA7FGODTNAGAEU4J5PBKL2W

not attested not anchored not stored refs pending

Total positivity of sums, Hadamard products and Hadamard powers: Results and counterexamples

Alan D. Sokal, Charles R. Johnson, Shaun Fallat

arxiv:1612.02210 v2 · 2016-12-07 · math.AC · 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{P35RA7FGODTNAGAEU4J5PBKL2W}

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.

Cited by

1 paper in Pith

Superstring Amplitudes, Unitarity, and Hankel Determinants of Multiple Zeta Values

Receipt and verification

First computed	2026-07-05T02:10:35.853884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7efb107ca670e6d01804a713d7854bd58c98b5997abf128ae5681930659e0369

Aliases

arxiv: 1612.02210 · arxiv_version: 1612.02210v2 · doi: 10.48550/arxiv.1612.02210 · pith_short_12: P35RA7FGODTN · pith_short_16: P35RA7FGODTNAGAE · pith_short_8: P35RA7FG

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/P35RA7FGODTNAGAEU4J5PBKL2W \
  | 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: 7efb107ca670e6d01804a713d7854bd58c98b5997abf128ae5681930659e0369

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2122b2bf72d9b0a230283ff704e390358bd940d50200fb07a99f164cf2d9698d",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-12-07T11:55:56Z",
    "title_canon_sha256": "bc3ee0b094a5edbfb96321ae95f524bd30aa9690009f6ed6b0c6fb3a4b4d9e25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02210",
    "kind": "arxiv",
    "version": 2
  }
}