Pith Number

pith:4D72TPPK

pith:2014:4D72TPPKBU3BT6VZZPJ6IZAWR7

not attested not anchored not stored refs pending

Quadratization of Symmetric Pseudo-Boolean Functions

Aritanan Gruber, Endre Boros, Martin Anthony, Yves Crama

arxiv:1404.6535 v1 · 2014-04-25 · math.OC · cs.CC · cs.CV · 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{4D72TPPKBU3BT6VZZPJ6IZAWR7}

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	2026-05-18T02:53:06.820881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0ffa9bdea0d3619fab9cbd3e464168ff2ad6067c5178e1f3af36fc483272f1f

Aliases

arxiv: 1404.6535 · arxiv_version: 1404.6535v1 · doi: 10.48550/arxiv.1404.6535 · pith_short_12: 4D72TPPKBU3B · pith_short_16: 4D72TPPKBU3BT6VZ · pith_short_8: 4D72TPPK

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/4D72TPPKBU3BT6VZZPJ6IZAWR7 \
  | 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: e0ffa9bdea0d3619fab9cbd3e464168ff2ad6067c5178e1f3af36fc483272f1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e10af07b2c402b6b8721942f6b15a20146e707e5ba2dd52ba793aab3443c8f42",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.CV",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-04-25T20:00:22Z",
    "title_canon_sha256": "9af42e8d09b1959e751186932389cdd2a6a019f40519e36b13fabed7a638fc27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6535",
    "kind": "arxiv",
    "version": 1
  }
}