Pith Number

pith:LPP4TJW4

pith:2016:LPP4TJW43IURBLX3ML6JKO7OUB

not attested not anchored not stored refs pending

Supermodularity in Unweighted Graph Optimization I: Branchings and Matchings

Andr\'as Frank, Krist\'of B\'erczi

arxiv:1608.05722 v2 · 2016-08-19 · 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{LPP4TJW43IURBLX3ML6JKO7OUB}

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	2026-05-18T00:36:09.644678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bdfc9a6dcda2910aefb62fc953beea0771d617ba5a047c17b1093859da50ced

Aliases

arxiv: 1608.05722 · arxiv_version: 1608.05722v2 · doi: 10.48550/arxiv.1608.05722 · pith_short_12: LPP4TJW43IUR · pith_short_16: LPP4TJW43IURBLX3 · pith_short_8: LPP4TJW4

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/LPP4TJW43IURBLX3ML6JKO7OUB \
  | 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: 5bdfc9a6dcda2910aefb62fc953beea0771d617ba5a047c17b1093859da50ced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b269a55e89810a58100c154dce0c11a6415055a0459684b745c6a05fa97aa3a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-19T20:09:25Z",
    "title_canon_sha256": "64cde9b5994107e389196362d4b59c9b31ea7ec1a30d44bd5d45d464a67cd171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05722",
    "kind": "arxiv",
    "version": 2
  }
}