Pith Number

pith:YH5VKU6P

pith:2015:YH5VKU6PBXWF7KEMK3ASE4G47L

not attested not anchored not stored refs pending

New computer-based search strategies for extreme functions of the Gomory--Johnson infinite group problem

Matthias K\"oppe, Yuan Zhou

arxiv:1506.00017 v3 · 2015-05-29 · 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{YH5VKU6PBXWF7KEMK3ASE4G47L}

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	2026-05-18T00:53:21.122947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1fb5553cf0dec5fa88c56c12270dcfaf11a9246ee33e6e0d409d000992de6be

Aliases

arxiv: 1506.00017 · arxiv_version: 1506.00017v3 · doi: 10.48550/arxiv.1506.00017 · pith_short_12: YH5VKU6PBXWF · pith_short_16: YH5VKU6PBXWF7KEM · pith_short_8: YH5VKU6P

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/YH5VKU6PBXWF7KEMK3ASE4G47L \
  | 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: c1fb5553cf0dec5fa88c56c12270dcfaf11a9246ee33e6e0d409d000992de6be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7e7658368a11242a44574524a4b22e8fd965df19dd4bbf3ce42419dec951b80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-05-29T20:13:22Z",
    "title_canon_sha256": "1c1961a73576989f46b6128f72185d760e4cc9a5ce0a1ff1767f0478fd6dae65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00017",
    "kind": "arxiv",
    "version": 3
  }
}