Pith Number

pith:MMNDFQO3

pith:2014:MMNDFQO3ZLIRQ2JX6RD2PWDNUO

not attested not anchored not stored refs pending

Sum of Squares Certificates for Containment of $\mathcal{H}$-polytopes in $\mathcal{V}$-polytopes

Kai Kellner, Thorsten Theobald

arxiv:1409.5008 v4 · 2014-09-17 · math.CO · 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{MMNDFQO3ZLIRQ2JX6RD2PWDNUO}

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	2026-05-18T01:20:26.433259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

631a32c1dbcad1186937f447a7d86da3adf1bfe8c2952b12c5b558adb147c869

Aliases

arxiv: 1409.5008 · arxiv_version: 1409.5008v4 · doi: 10.48550/arxiv.1409.5008 · pith_short_12: MMNDFQO3ZLIR · pith_short_16: MMNDFQO3ZLIRQ2JX · pith_short_8: MMNDFQO3

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/MMNDFQO3ZLIRQ2JX6RD2PWDNUO \
  | 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: 631a32c1dbcad1186937f447a7d86da3adf1bfe8c2952b12c5b558adb147c869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4bbba9733bb5d4fdaec881cdac0d4bb4458ea18579f2e353e0a8c486bfecde8",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-17T14:37:32Z",
    "title_canon_sha256": "6702ef07685f7f02744ac644bd08232f77ebd66164179fe64d69e43f73090261"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5008",
    "kind": "arxiv",
    "version": 4
  }
}