Pith Number

pith:EK6S5HK4

pith:2015:EK6S5HK4YP7W7SFKPAN47EZUDG

not attested not anchored not stored refs pending

A certifying and dynamic algorithm for the recognition of proper circular-arc graphs

Francisco J. Soulignac

arxiv:1509.05828 v1 · 2015-09-19 · cs.DS · 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{EK6S5HK4YP7W7SFKPAN47EZUDG}

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	2026-05-18T01:32:42.229343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22bd2e9d5cc3ff6fc8aa781bcf9334199e7e9cbed4b94c3e1b1a628ea71a1622

Aliases

arxiv: 1509.05828 · arxiv_version: 1509.05828v1 · doi: 10.48550/arxiv.1509.05828 · pith_short_12: EK6S5HK4YP7W · pith_short_16: EK6S5HK4YP7W7SFK · pith_short_8: EK6S5HK4

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/EK6S5HK4YP7W7SFKPAN47EZUDG \
  | 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: 22bd2e9d5cc3ff6fc8aa781bcf9334199e7e9cbed4b94c3e1b1a628ea71a1622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fa2077857f84d1c0dc36cb2b41d99e81a14e2e13b39a2bd55db84333c18511c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-09-19T00:06:19Z",
    "title_canon_sha256": "66618b27a612a4a64ca5dee08b89ead63335bf59704d987c5e45349d1b2cfe54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05828",
    "kind": "arxiv",
    "version": 1
  }
}