Pith Number

pith:FH7XTKK4

pith:2012:FH7XTKK4K7M3RH7S3DEPIIO6GW

not attested not anchored not stored refs pending

Solving the Canonical Representation and Star System Problems for Proper Circular-Arc Graphs in Log-Space

Johannes K\"obler, Oleg Verbitsky, Sebastian Kuhnert

arxiv:1202.4406 v5 · 2012-02-20 · 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{FH7XTKK4K7M3RH7S3DEPIIO6GW}

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	2026-05-18T03:05:28.554440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29ff79a95c57d9b89ff2d8c8f421de35b1a44abd508a650094b48113940f59f0

Aliases

arxiv: 1202.4406 · arxiv_version: 1202.4406v5 · doi: 10.48550/arxiv.1202.4406 · pith_short_12: FH7XTKK4K7M3 · pith_short_16: FH7XTKK4K7M3RH7S · pith_short_8: FH7XTKK4

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/FH7XTKK4K7M3RH7S3DEPIIO6GW \
  | 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: 29ff79a95c57d9b89ff2d8c8f421de35b1a44abd508a650094b48113940f59f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb4673983d1abd16219861931d363b15a26e85d177024bfda21749ff6eba9861",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-02-20T18:06:08Z",
    "title_canon_sha256": "fc287f4c0b145c4c963f3277201bb527bb1c92625f1cdb1bc8350194fa9454a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4406",
    "kind": "arxiv",
    "version": 5
  }
}