Pith Number

pith:NWPMXUQG

pith:2015:NWPMXUQG3PG473DG4LX6KALSTZ

not attested not anchored not stored refs pending

Simultaneous Embeddings with Few Bends and Crossings

Fabrizio Frati, Michael Hoffmann, Vincent Kusters

arxiv:1508.07921 v1 · 2015-08-31 · cs.CG · cs.DS · 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{NWPMXUQG3PG473DG4LX6KALSTZ}

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	2026-05-18T01:34:31.183525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d9ecbd206dbcdcfec66e2efe501729e66e81a29fffbf1e6b4b9db693b1ca654

Aliases

arxiv: 1508.07921 · arxiv_version: 1508.07921v1 · doi: 10.48550/arxiv.1508.07921 · pith_short_12: NWPMXUQG3PG4 · pith_short_16: NWPMXUQG3PG473DG · pith_short_8: NWPMXUQG

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/NWPMXUQG3PG473DG4LX6KALSTZ \
  | 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: 6d9ecbd206dbcdcfec66e2efe501729e66e81a29fffbf1e6b4b9db693b1ca654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f7820133d80fddce52038a4a4e287eca0a561d7bec5a1b664e5a548c4e283ec",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-08-31T17:12:21Z",
    "title_canon_sha256": "850a4a10d7edcfdb917c123472cb3deaf84f32c7bacc7ba6ae81dca8994a43cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07921",
    "kind": "arxiv",
    "version": 1
  }
}