Pith Number

pith:G5HEOORN

pith:2013:G5HEOORNLFGN7EIZECV6URJ36Q

not attested not anchored not stored refs pending

A Branch-and-Cut Strategy for the Manickam-Miklos-Singhi Conjecture

Derrick Stolee, Stephen G. Hartke

arxiv:1302.3636 v1 · 2013-02-14 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5HEOORNLFGN7EIZECV6URJ36Q}

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	2026-05-18T03:33:36.315712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

374e473a2d594cdf911920abea453bf40daf060967e235a5edcad8d8d45220a1

Aliases

arxiv: 1302.3636 · arxiv_version: 1302.3636v1 · doi: 10.48550/arxiv.1302.3636 · pith_short_12: G5HEOORNLFGN · pith_short_16: G5HEOORNLFGN7EIZ · pith_short_8: G5HEOORN

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/G5HEOORNLFGN7EIZECV6URJ36Q \
  | 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: 374e473a2d594cdf911920abea453bf40daf060967e235a5edcad8d8d45220a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5308e3112c1c7ea8d1ff839165efdcebfb1391bdea07d2a6f60c68b988388b17",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-14T21:50:14Z",
    "title_canon_sha256": "931adce585678dd78a486b4fc6efb55ed887eaab8481c5373c3ef6de1b3f967b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3636",
    "kind": "arxiv",
    "version": 1
  }
}