Pith Number

pith:4GXR7AXP

pith:2016:4GXR7AXPEDFKQHMIUGDDXFI34U

not attested not anchored not stored refs pending

A combinatorial approach for small and strong formulations of disjunctive constraints

Joey Huchette, Juan Pablo Vielma

arxiv:1607.04803 v4 · 2016-07-16 · 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{4GXR7AXPEDFKQHMIUGDDXFI34U}

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	2026-05-18T00:15:05.746445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1af1f82ef20caa81d88a1863b951be532616b63bcf983f677e87b832a80fa26

Aliases

arxiv: 1607.04803 · arxiv_version: 1607.04803v4 · doi: 10.48550/arxiv.1607.04803 · pith_short_12: 4GXR7AXPEDFK · pith_short_16: 4GXR7AXPEDFKQHMI · pith_short_8: 4GXR7AXP

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/4GXR7AXPEDFKQHMIUGDDXFI34U \
  | 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: e1af1f82ef20caa81d88a1863b951be532616b63bcf983f677e87b832a80fa26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00bc5535fa487fad25cad37629aa8c4ad447d0df35da56ab1c224d81d019f1ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-16T20:54:15Z",
    "title_canon_sha256": "b52e37de60af7c592af5c88822ea4017978f8be06fc4252580be951b67686055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04803",
    "kind": "arxiv",
    "version": 4
  }
}