Pith Number

pith:4ETSPCJI

pith:2014:4ETSPCJIBM4ZSCXAGP3HNHTP6L

not attested not anchored not stored refs pending

Tractable Triangles and Cross-Free Convexity in Discrete Optimisation

Martin C. Cooper, Stanislav \v{Z}ivn\'y

arxiv:1401.5855 v1 · 2014-01-23 · cs.CC · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ETSPCJIBM4ZSCXAGP3HNHTP6L}

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	2026-05-18T03:01:23.664185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1272789280b39990ae033f6769e6ff2de21e27fb396919058e9b57124bdcc8e

Aliases

arxiv: 1401.5855 · arxiv_version: 1401.5855v1 · doi: 10.48550/arxiv.1401.5855 · pith_short_12: 4ETSPCJIBM4Z · pith_short_16: 4ETSPCJIBM4ZSCXA · pith_short_8: 4ETSPCJI

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/4ETSPCJIBM4ZSCXAGP3HNHTP6L \
  | 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: e1272789280b39990ae033f6769e6ff2de21e27fb396919058e9b57124bdcc8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b34d7fe07f2b6af04dad497e45a46b2386f94a79bf34aeb828eb44ef7f17355",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-01-23T02:45:30Z",
    "title_canon_sha256": "f3db14c0f883afaba71ee3a74e90cdd99f581558a75dbe40c1af97c94ba30eee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5855",
    "kind": "arxiv",
    "version": 1
  }
}