Pith Number

pith:QO7OUYHX

pith:2012:QO7OUYHXMCALMII655F2CH7L5C

not attested not anchored not stored refs pending

Extensions of the Minimum Cost Homomorphism Problem

Rustem Takhanov

arxiv:1210.2260 v1 · 2012-10-08 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QO7OUYHXMCALMII655F2CH7L5C}

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	2026-05-18T03:43:50.682298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83beea60f76080b6211eef4ba11febe899458485fbbfc70f80d3760e8ff76f9f

Aliases

arxiv: 1210.2260 · arxiv_version: 1210.2260v1 · doi: 10.48550/arxiv.1210.2260 · pith_short_12: QO7OUYHXMCAL · pith_short_16: QO7OUYHXMCALMII6 · pith_short_8: QO7OUYHX

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/QO7OUYHXMCALMII655F2CH7L5C \
  | 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: 83beea60f76080b6211eef4ba11febe899458485fbbfc70f80d3760e8ff76f9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5d65109f96676f23d2164d6ffc0a69e800f40d4fb66439faa62b150ddb34fc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-10-08T12:39:06Z",
    "title_canon_sha256": "141d05367781a556cec26c2cc5aa1878f7d6e2088afd2f7ddecf6d88a0bbca0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2260",
    "kind": "arxiv",
    "version": 1
  }
}