Pith Number

pith:KHJY242Y

pith:2015:KHJY242YTAXKXQPTHOKWQGVOB7

not attested not anchored not stored refs pending

Solving MIPs via Scaling-based Augmentation

Jeffrey W. Pavelka, Marc E. Pfetsch, Pierre Le Bodic, Sebastian Pokutta

arxiv:1509.03206 v3 · 2015-09-10 · 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{KHJY242YTAXKXQPTHOKWQGVOB7}

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	2026-05-18T01:29:53.684836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51d38d7358982eabc1f33b95681aae0ff48e0ff5f4020694fbfcfb69e5189e2e

Aliases

arxiv: 1509.03206 · arxiv_version: 1509.03206v3 · doi: 10.48550/arxiv.1509.03206 · pith_short_12: KHJY242YTAXK · pith_short_16: KHJY242YTAXKXQPT · pith_short_8: KHJY242Y

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/KHJY242YTAXKXQPTHOKWQGVOB7 \
  | 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: 51d38d7358982eabc1f33b95681aae0ff48e0ff5f4020694fbfcfb69e5189e2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cc22385bf5cc040d01d56e12aba88cc19d2d80e8ed9c38cdd9efdfd83a75a09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-10T15:57:39Z",
    "title_canon_sha256": "b357de34fd95abee284ba4054e3401a64f5575338a92d84327fcc0a893e26085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03206",
    "kind": "arxiv",
    "version": 3
  }
}