Pith Number

pith:3GR7IBOP

pith:2014:3GR7IBOPJKBJLJHWBK4HKAHYRC

not attested not anchored not stored refs pending

Two-Page Book Embeddings of 4-Planar Graphs

Chrysanthi N. Raftopoulou, Martin Gronemann, Michael A. Bekos

arxiv:1401.0684 v1 · 2014-01-03 · cs.DM · cs.CC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GR7IBOPJKBJLJHWBK4HKAHYRC}

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	2026-05-18T03:03:21.788627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a3f405cf4a8295a4f60ab87500f888a1999eea03815233d00b5ff0548ae121

Aliases

arxiv: 1401.0684 · arxiv_version: 1401.0684v1 · doi: 10.48550/arxiv.1401.0684 · pith_short_12: 3GR7IBOPJKBJ · pith_short_16: 3GR7IBOPJKBJLJHW · pith_short_8: 3GR7IBOP

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/3GR7IBOPJKBJLJHWBK4HKAHYRC \
  | 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: d9a3f405cf4a8295a4f60ab87500f888a1999eea03815233d00b5ff0548ae121

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99b473aa67d2678d64a27d11646889a3432cb40a108ce8ab0c32627466f15f53",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-01-03T17:28:56Z",
    "title_canon_sha256": "69967ee415e92243ab1428d4478cd6274081e2b9f59da439ded6c6a03b04f5f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0684",
    "kind": "arxiv",
    "version": 1
  }
}