Pith Number

pith:ANRD35IE

pith:2010:ANRD35IEMEE22A7IKSBIVXDCVW

not attested not anchored not stored refs pending

Minimum k-path vertex cover

Bo\v{s}tjan Bre\v{s}ar, Franti\v{s}ek Kardo\v{s}, Gabriel Semani\v{s}in, J\'an Katreni\v{c}

arxiv:1012.2088 v2 · 2010-12-09 · math.CO · cs.CC · 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{ANRD35IEMEE22A7IKSBIVXDCVW}

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	2026-05-18T04:16:32.104241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03623df5046109ad03e854828adc62adbb80b6a17c13dad57a79dba18a09ca51

Aliases

arxiv: 1012.2088 · arxiv_version: 1012.2088v2 · doi: 10.48550/arxiv.1012.2088 · pith_short_12: ANRD35IEMEE2 · pith_short_16: ANRD35IEMEE22A7I · pith_short_8: ANRD35IE

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/ANRD35IEMEE22A7IKSBIVXDCVW \
  | 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: 03623df5046109ad03e854828adc62adbb80b6a17c13dad57a79dba18a09ca51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92f2a192b8f9f093900d25f29865434e8dbd4408802a1fc9e001709d8fad8183",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-09T19:25:09Z",
    "title_canon_sha256": "0cfaf864274048e709747676562e41211e71a54acabe590b4a910200420b9c4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2088",
    "kind": "arxiv",
    "version": 2
  }
}