Pith Number

pith:UQKHV37X

pith:2011:UQKHV37XW5KDTNQEW2WIG6WTHJ

not attested not anchored not stored refs pending

On finitely generated closures in the theory of cutting planes

Gennadiy Averkov

arxiv:1110.3967 v3 · 2011-10-18 · math.OC · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQKHV37XW5KDTNQEW2WIG6WTHJ}

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	2026-05-18T03:48:34.085143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4147aeff7b75439b604b6ac837ad33a7f624663680e5b226f1a83d6055288ba

Aliases

arxiv: 1110.3967 · arxiv_version: 1110.3967v3 · doi: 10.48550/arxiv.1110.3967 · pith_short_12: UQKHV37XW5KD · pith_short_16: UQKHV37XW5KDTNQE · pith_short_8: UQKHV37X

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/UQKHV37XW5KDTNQEW2WIG6WTHJ \
  | 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: a4147aeff7b75439b604b6ac837ad33a7f624663680e5b226f1a83d6055288ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "176260260759dc53b8714170efd1e9bda814fc6419d962ae98590589fbee9d50",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-10-18T13:13:50Z",
    "title_canon_sha256": "a355f59b35be6614c39cc4aba036b1b48e5736c615a33adc7749a4d1cfd64c55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3967",
    "kind": "arxiv",
    "version": 3
  }
}