Pith Number

pith:ACAFODME

pith:2011:ACAFODMEKQAM6M6JWHWO3NMWQO

not attested not anchored not stored refs pending

Determining the Solution Space of Vertex-Cover by Interactions and Backbones

Binghui Guo, Renquan Zhang, Wei Wei, Zhiming Zheng

arxiv:1112.6079 v2 · 2011-12-28 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACAFODMEKQAM6M6JWHWO3NMWQO}

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	2026-05-18T02:31:09.188370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0080570d845400cf33c9b1ecedb596839d52666a932bc2cc2cf72c831286447c

Aliases

arxiv: 1112.6079 · arxiv_version: 1112.6079v2 · doi: 10.48550/arxiv.1112.6079 · pith_short_12: ACAFODMEKQAM · pith_short_16: ACAFODMEKQAM6M6J · pith_short_8: ACAFODME

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/ACAFODMEKQAM6M6JWHWO3NMWQO \
  | 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: 0080570d845400cf33c9b1ecedb596839d52666a932bc2cc2cf72c831286447c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f8bfc240d4eeb898323dee9f787e975a516517df9ea92db77f9b061eae272d0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-28T08:32:37Z",
    "title_canon_sha256": "45ab5784abb0a1d8aeb5d17ade997fe55165326b9a978c472f2f7f07aa3dd1ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6079",
    "kind": "arxiv",
    "version": 2
  }
}