Pith Number

pith:PLFQAEA2

pith:2015:PLFQAEA25NC7Y45A6E4RZSR3A7

not attested not anchored not stored refs pending

Lower Bounds for the Graph Homomorphism Problem

Alexander Golovnev, Alexander S. Kulikov, Fedor V. Fomin, Ivan Mihajlin

arxiv:1502.05447 v1 · 2015-02-19 · 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{PLFQAEA25NC7Y45A6E4RZSR3A7}

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	2026-05-18T02:26:46.516146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7acb00101aeb45fc73a0f1391cca3b07fb5b8432a77b59799d42cb8bf6cb544d

Aliases

arxiv: 1502.05447 · arxiv_version: 1502.05447v1 · doi: 10.48550/arxiv.1502.05447 · pith_short_12: PLFQAEA25NC7 · pith_short_16: PLFQAEA25NC7Y45A · pith_short_8: PLFQAEA2

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/PLFQAEA25NC7Y45A6E4RZSR3A7 \
  | 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: 7acb00101aeb45fc73a0f1391cca3b07fb5b8432a77b59799d42cb8bf6cb544d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24b81cd749940bd2d13cc06d3010d46507a987e8ba6bb9f9b9f58e732bcf8dc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-02-19T00:12:26Z",
    "title_canon_sha256": "71452054792501958b3d9a33f3c5f74530eb8468d6768ca70b297956a00bd5a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05447",
    "kind": "arxiv",
    "version": 1
  }
}