Pith Number

pith:PAPBQFXB

pith:2026:PAPBQFXBOMQABO63OF5FKR6YAU

not attested not anchored not stored refs pending

Sharp Inequalities for Products of Principal Minors of Positive Definite Matrices

Ludovick Bouthat, Tobias Boege

arxiv:2606.23632 v1 · 2026-06-22 · math.MG · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAPBQFXBOMQABO63OF5FKR6YAU}

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	2026-06-23T03:14:32.850622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

781e1816e1732000bbdb717a5547d8052c211711cb0675740f86bfca26ba360d

Aliases

arxiv: 2606.23632 · arxiv_version: 2606.23632v1 · doi: 10.48550/arxiv.2606.23632 · pith_short_12: PAPBQFXBOMQA · pith_short_16: PAPBQFXBOMQABO63 · pith_short_8: PAPBQFXB

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/PAPBQFXBOMQABO63OF5FKR6YAU \
  | 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: 781e1816e1732000bbdb717a5547d8052c211711cb0675740f86bfca26ba360d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bc6c08314a3eef1190e76e7ffcedf226dcebb69772184bab6be8cfe34f726b6",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-06-22T17:23:30Z",
    "title_canon_sha256": "77216e28e9bdddfaf080cf1db4d7ff1ff4607225c531bceeb527bb5cf6dee398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23632",
    "kind": "arxiv",
    "version": 1
  }
}