Pith Number

pith:D3AQGZ6G

pith:2011:D3AQGZ6GP2RL6N75DDNK7MWJC5

not attested not anchored not stored refs pending

On vertex covers and matching number of trapezoid graphs

Aleksandar Ilic, Andreja Ilic

arxiv:1106.2351 v1 · 2011-06-12 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3AQGZ6GP2RL6N75DDNK7MWJC5}

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	2026-05-18T04:20:05.949374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ec10367c67ea2bf37fd18daafb2c9175d782d245c0a89772349e58af1f88b31

Aliases

arxiv: 1106.2351 · arxiv_version: 1106.2351v1 · doi: 10.48550/arxiv.1106.2351 · pith_short_12: D3AQGZ6GP2RL · pith_short_16: D3AQGZ6GP2RL6N75 · pith_short_8: D3AQGZ6G

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/D3AQGZ6GP2RL6N75DDNK7MWJC5 \
  | 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: 1ec10367c67ea2bf37fd18daafb2c9175d782d245c0a89772349e58af1f88b31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6fd2af59a8efa816d0e1298b5a4007b0671f20773d2b5d1e4c18174beb453da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-06-12T22:11:56Z",
    "title_canon_sha256": "9d250a496693a2036ff3d92f83be41249e39db882f465a4a335b082e651ad204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2351",
    "kind": "arxiv",
    "version": 1
  }
}