Pith Number

pith:4LOG7KU5

pith:2014:4LOG7KU5VMEEROUL2KPEBNNSYA

not attested not anchored not stored refs pending

A special role of Boolean quadratic polytopes among other combinatorial polytopes

Aleksandr Maksimenko

arxiv:1408.0948 v2 · 2014-08-05 · cs.CC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LOG7KU5VMEEROUL2KPEBNNSYA}

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	2026-05-18T00:18:27.245507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2dc6faa9dab0848ba8bd29e40b5b2c03fa3abdc3557592c0b64a7da4cccfd7d

Aliases

arxiv: 1408.0948 · arxiv_version: 1408.0948v2 · doi: 10.48550/arxiv.1408.0948 · pith_short_12: 4LOG7KU5VMEE · pith_short_16: 4LOG7KU5VMEEROUL · pith_short_8: 4LOG7KU5

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/4LOG7KU5VMEEROUL2KPEBNNSYA \
  | 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: e2dc6faa9dab0848ba8bd29e40b5b2c03fa3abdc3557592c0b64a7da4cccfd7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "672d2c76b0251b28d10767b9cc644e32dae1577c44dbd49bbb1ad05e1f743068",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-08-05T12:33:13Z",
    "title_canon_sha256": "66ed22e002705fdaea6251a09a0ccda8dadc05f7b0d422f0fecbbe3ee4678c3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0948",
    "kind": "arxiv",
    "version": 2
  }
}