Pith Number

pith:RISE6X7J

pith:2012:RISE6X7JBILUEOJFXOLEZZWOHK

not attested not anchored not stored refs pending

A short proof for the polyhedrality of the Chv\'atal-Gomory closure of a compact convex set

G\'abor Braun, Sebastian Pokutta

arxiv:1207.4884 v5 · 2012-07-20 · math.CO · cs.CG · cs.DM · 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{RISE6X7JBILUEOJFXOLEZZWOHK}

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	2026-05-18T02:51:42.572684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a244f5fe90a17423925bb964ce6ce3aa84bcb8a8e9418a1c002c2edf6a6980e

Aliases

arxiv: 1207.4884 · arxiv_version: 1207.4884v5 · doi: 10.48550/arxiv.1207.4884 · pith_short_12: RISE6X7JBILU · pith_short_16: RISE6X7JBILUEOJF · pith_short_8: RISE6X7J

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/RISE6X7JBILUEOJFXOLEZZWOHK \
  | 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: 8a244f5fe90a17423925bb964ce6ce3aa84bcb8a8e9418a1c002c2edf6a6980e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0502854c85aa8bbfb1a28332cb81d34ca8e8fae8f760976b588e39835fe462f5",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-20T09:18:40Z",
    "title_canon_sha256": "183a9287dc0be16034c7315596338300940b9c5c28e8feb2b666f0644a2f6126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4884",
    "kind": "arxiv",
    "version": 5
  }
}