Pith Number

pith:A2RRCN22

pith:2012:A2RRCN22XUOEYBLXHZ6XE7IY7D

not attested not anchored not stored refs pending

An Algebraic Theory of Complexity for Discrete Optimisation

David A. Cohen, Martin C. Cooper, Paidi Creed, Peter G. Jeavons, Stanislav Zivny

arxiv:1207.6692 v1 · 2012-07-28 · 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{A2RRCN22XUOEYBLXHZ6XE7IY7D}

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	2026-05-18T02:21:07.909575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06a311375abd1c4c05773e7d727d18f8dd624211edba57ac48a8cec503b15f38

Aliases

arxiv: 1207.6692 · arxiv_version: 1207.6692v1 · doi: 10.48550/arxiv.1207.6692 · pith_short_12: A2RRCN22XUOE · pith_short_16: A2RRCN22XUOEYBLX · pith_short_8: A2RRCN22

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/A2RRCN22XUOEYBLXHZ6XE7IY7D \
  | 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: 06a311375abd1c4c05773e7d727d18f8dd624211edba57ac48a8cec503b15f38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bc51f855700d200182363097d2d90e28f17c209793719b1957b37dc2ce2be84",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-07-28T09:01:36Z",
    "title_canon_sha256": "121c4468df6833107e5333a245a6bb98a4f03558e1661608cd6917711a738438"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6692",
    "kind": "arxiv",
    "version": 1
  }
}