Pith Number

pith:LGPBFGZI

pith:2009:LGPBFGZIEOGZCL65MQCHQRIVOO

not attested not anchored not stored refs pending

Sum--of--squares results for polynomials related to the Bessis--Moussa--Villani conjecture

Benoit Collins, Francisco Torres-Ayala, Kenneth J. Dykema

arxiv:0905.0420 v3 · 2009-05-04 · math.RA · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGPBFGZIEOGZCL65MQCHQRIVOO}

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

On the Failure of the Upper Bound in the Refined BMV Conjecture and a Pinching Correction

Receipt and verification

First computed	2026-05-17T23:52:44.992024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

599e129b28238d912fdd640478451573a1ece7042db060c812ce697fb1c7fc59

Aliases

arxiv: 0905.0420 · arxiv_version: 0905.0420v3 · doi: 10.48550/arxiv.0905.0420 · pith_short_12: LGPBFGZIEOGZ · pith_short_16: LGPBFGZIEOGZCL65 · pith_short_8: LGPBFGZI

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/LGPBFGZIEOGZCL65MQCHQRIVOO \
  | 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: 599e129b28238d912fdd640478451573a1ece7042db060c812ce697fb1c7fc59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8d118f6095311b774652cc9bd9dc2eb0e7b391e7b32e15548eb690975d7e03b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-05-04T16:44:18Z",
    "title_canon_sha256": "2e5f273f6651c150abc5e8e56246b7e3504a5ded9e76bdd0076687890f8e199c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0420",
    "kind": "arxiv",
    "version": 3
  }
}