Pith Number

pith:2QIUFFWN

pith:2016:2QIUFFWNXA6TOWAWPUEHJSRUTT

not attested not anchored not stored refs pending

Software for cut-generating functions in the Gomory--Johnson model and beyond

Chun Yu Hong, Matthias K\"oppe, Yuan Zhou

arxiv:1605.00197 v1 · 2016-05-01 · 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{2QIUFFWNXA6TOWAWPUEHJSRUTT}

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	2026-05-18T00:53:20.889348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4114296cdb83d3758167d0874ca349ce453db9587c3de7005d6fadf3af834d3

Aliases

arxiv: 1605.00197 · arxiv_version: 1605.00197v1 · doi: 10.48550/arxiv.1605.00197 · pith_short_12: 2QIUFFWNXA6T · pith_short_16: 2QIUFFWNXA6TOWAW · pith_short_8: 2QIUFFWN

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/2QIUFFWNXA6TOWAWPUEHJSRUTT \
  | 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: d4114296cdb83d3758167d0874ca349ce453db9587c3de7005d6fadf3af834d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd5bbb35bf6141315d6570999a7fe2876f98f303583f898b918f5b3affd0aa89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-05-01T02:30:17Z",
    "title_canon_sha256": "a042b945e631006272989b1b2e03a22b83eefa24a9c57ed1ab9b9def5aabc953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00197",
    "kind": "arxiv",
    "version": 1
  }
}