Pith Number

pith:ZGOPCAKS

pith:2015:ZGOPCAKS5FM43VN2YL3AY5OT53

not attested not anchored not stored refs pending

On Konig-Egervary Collections of Maximum Critical Independent Sets

Eugen Mandrescu, Vadim E. Levit

arxiv:1512.01994 v1 · 2015-12-07 · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGOPCAKS5FM43VN2YL3AY5OT53}

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	2026-05-18T01:25:09.848277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c99cf10152e959cdd5bac2f60c75d3eee76487bd75f830df9806b3826b362530

Aliases

arxiv: 1512.01994 · arxiv_version: 1512.01994v1 · doi: 10.48550/arxiv.1512.01994 · pith_short_12: ZGOPCAKS5FM4 · pith_short_16: ZGOPCAKS5FM43VN2 · pith_short_8: ZGOPCAKS

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/ZGOPCAKS5FM43VN2YL3AY5OT53 \
  | 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: c99cf10152e959cdd5bac2f60c75d3eee76487bd75f830df9806b3826b362530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d6dbab2c523517bc86f423548ddfc953d893415f840a984589826ed7234e04c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-12-07T11:45:02Z",
    "title_canon_sha256": "f76b4261bcd7e58db58d19c729e2c754220d4d349382eedee3621e9c3782cbc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01994",
    "kind": "arxiv",
    "version": 1
  }
}