Pith Number

pith:3HFF2KZ6

pith:2010:3HFF2KZ6K3CUW6P52RXHNE6HZ5

not attested not anchored not stored refs pending

Logical complexity of graphs: a survey

Oleg Pikhurko, Oleg Verbitsky

arxiv:1003.4865 v4 · 2010-03-25 · math.CO · cs.CC · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HFF2KZ6K3CUW6P52RXHNE6HZ5}

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	2026-05-18T03:27:02.077136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9ca5d2b3e56c54b79fdd46e7693c7cf498b47dc8c7b9595bb2ce03e94cb0196

Aliases

arxiv: 1003.4865 · arxiv_version: 1003.4865v4 · doi: 10.48550/arxiv.1003.4865 · pith_short_12: 3HFF2KZ6K3CU · pith_short_16: 3HFF2KZ6K3CUW6P5 · pith_short_8: 3HFF2KZ6

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/3HFF2KZ6K3CUW6P52RXHNE6HZ5 \
  | 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: d9ca5d2b3e56c54b79fdd46e7693c7cf498b47dc8c7b9595bb2ce03e94cb0196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f73f4f5de759e0bb317ed4ed90808453cbd5273f9138fd2da649bfe4518986a",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-03-25T11:48:59Z",
    "title_canon_sha256": "4b4e5c5c76718731a3852e9cc7599225b8a0a103b75e09fabba1aa15fe16e47f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4865",
    "kind": "arxiv",
    "version": 4
  }
}