Pith Number

pith:XPMB4ZSP

pith:2017:XPMB4ZSPCBNCOVUFCBES5ASLLP

not attested not anchored not stored refs pending

Convex Hulls for the Unit Commitment Polytope

Kai Pan, Yongpei Guan

arxiv:1701.08943 v1 · 2017-01-31 · 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{XPMB4ZSPCBNCOVUFCBES5ASLLP}

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	2026-05-18T00:51:38.833370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd81e664f105a27568510492e824b5bc584c3b26f4d316a1e1c38610a2f2fae

Aliases

arxiv: 1701.08943 · arxiv_version: 1701.08943v1 · doi: 10.48550/arxiv.1701.08943 · pith_short_12: XPMB4ZSPCBNC · pith_short_16: XPMB4ZSPCBNCOVUF · pith_short_8: XPMB4ZSP

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/XPMB4ZSPCBNCOVUFCBES5ASLLP \
  | 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: bbd81e664f105a27568510492e824b5bc584c3b26f4d316a1e1c38610a2f2fae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22d37ad8a6247d789fcb99db69fc33faf04b79681cf75aac39ae46c22cab2ab3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-01-31T08:35:04Z",
    "title_canon_sha256": "02b1220e7a0b7f647ca1a67ad789e359df142ffd5a1f5a78c34ef494115026db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08943",
    "kind": "arxiv",
    "version": 1
  }
}