Pith Number

pith:FFWKVXBL

pith:2026:FFWKVXBL5JJB2NEAETXEYW4232

not attested not anchored not stored refs pending

Elementary Symmetric Polynomial Inequalities for Centered Vectors and Matrices

Jonathan Niles-Weed, Yanjun Han

arxiv:2607.23836 v1 · 2026-07-26 · math.CO · cs.IT · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFWKVXBL5JJB2NEAETXEYW4232}

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	2026-07-28T01:23:13.579154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

296caadc2bea521d348024ee4c5b9adeb3ece6398ec77520b382eee8dda494f1

Aliases

arxiv: 2607.23836 · arxiv_version: 2607.23836v1 · doi: 10.48550/arxiv.2607.23836 · pith_short_12: FFWKVXBL5JJB · pith_short_16: FFWKVXBL5JJB2NEA · pith_short_8: FFWKVXBL

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/FFWKVXBL5JJB2NEAETXEYW4232 \
  | 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: 296caadc2bea521d348024ee4c5b9adeb3ece6398ec77520b382eee8dda494f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e151233cda6c6813efbab7664159f824390abf5fac385823060762a7618ed4e",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-26T20:42:39Z",
    "title_canon_sha256": "df31fbadc882e1ebb59afb38b67fdc8d2876d38f5b0a91bb2a872890711061ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23836",
    "kind": "arxiv",
    "version": 1
  }
}