Pith Number

pith:335PW2SP

pith:2026:335PW2SPJKF76SX3H3G4WOHUHI

not attested not anchored not stored refs pending

Sum-of-squares certificates for symmetric polynomials on the hypercube: a counterexample to a conjecture of De Klerk and Laurent

Sven Polak

arxiv:2605.31169 v1 · 2026-05-29 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{335PW2SPJKF76SX3H3G4WOHUHI}

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	2026-06-01T01:04:02.223158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

defafb6a4f4a8bff4afb3ecdcb38f43a1b2db7f86de5b5c7a200977c661a0064

Aliases

arxiv: 2605.31169 · arxiv_version: 2605.31169v1 · doi: 10.48550/arxiv.2605.31169 · pith_short_12: 335PW2SPJKF7 · pith_short_16: 335PW2SPJKF76SX3 · pith_short_8: 335PW2SP

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/335PW2SPJKF76SX3H3G4WOHUHI \
  | 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: defafb6a4f4a8bff4afb3ecdcb38f43a1b2db7f86de5b5c7a200977c661a0064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4f19f93049c1ccf8a44fe5d385f2daa669eea1a5e4ccd8eb42348d03d7f42dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-29T11:22:03Z",
    "title_canon_sha256": "391545e70c46c497925557607d81943f742197ec0af9a5bb1cebb40f3f86e454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31169",
    "kind": "arxiv",
    "version": 1
  }
}