Pith Number

pith:TPR5AX6P

pith:2011:TPR5AX6POHXBT3Y4WT25WA2EUQ

not attested not anchored not stored refs pending

The Clique Problem in Ray Intersection Graphs

Jean Cardinal, Sergio Cabello, Stefan Langerman

arxiv:1111.5986 v1 · 2011-11-25 · cs.CG · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPR5AX6POHXBT3Y4WT25WA2EUQ}

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	2026-05-18T04:07:41.286940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9be3d05fcf71ee19ef1cb4f5db0344a430b60589ec4698cf5ed0e4b2040f8d5d

Aliases

arxiv: 1111.5986 · arxiv_version: 1111.5986v1 · doi: 10.48550/arxiv.1111.5986 · pith_short_12: TPR5AX6POHXB · pith_short_16: TPR5AX6POHXBT3Y4 · pith_short_8: TPR5AX6P

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/TPR5AX6POHXBT3Y4WT25WA2EUQ \
  | 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: 9be3d05fcf71ee19ef1cb4f5db0344a430b60589ec4698cf5ed0e4b2040f8d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c84b075e6b4db72e717efdd3cdc7f38aa1411265cfd5b9ccecfe66ec7037c6e3",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2011-11-25T13:48:12Z",
    "title_canon_sha256": "99432de470ce04931051bd65a2b3063e8d417ef99e17c5ed9bbb814f2fba8112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5986",
    "kind": "arxiv",
    "version": 1
  }
}