Pith Number

pith:CRPZNHRG

pith:2016:CRPZNHRGS5AIS5LXKR2VD4XHIL

not attested not anchored not stored refs pending

Toward computer-assisted discovery and automated proofs of cutting plane theorems

Matthias K\"oppe, Yuan Zhou

arxiv:1604.03649 v1 · 2016-04-13 · 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{CRPZNHRGS5AIS5LXKR2VD4XHIL}

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	2026-05-18T00:53:40.351453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

145f969e269740897577547551f2e742db5f2f6c3284dfaad870450a7df32b78

Aliases

arxiv: 1604.03649 · arxiv_version: 1604.03649v1 · doi: 10.48550/arxiv.1604.03649 · pith_short_12: CRPZNHRGS5AI · pith_short_16: CRPZNHRGS5AIS5LX · pith_short_8: CRPZNHRG

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/CRPZNHRGS5AIS5LXKR2VD4XHIL \
  | 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: 145f969e269740897577547551f2e742db5f2f6c3284dfaad870450a7df32b78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc521345976b42ee4f75f4bdba6f1a48d6346f2faf5b7febf6e69da4aa58cbc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-04-13T04:10:31Z",
    "title_canon_sha256": "03a94fc141971d522f76e1e1fe9f4b72ea3e2105255080b49af4515f09d783d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03649",
    "kind": "arxiv",
    "version": 1
  }
}