Pith Number

pith:GR5DT4NJ

pith:2015:GR5DT4NJUZR2BTSLLW7H3ACSDM

not attested not anchored not stored refs pending

Structure of Graphs with Locally Restricted Crossings

David Eppstein, David R. Wood, Vida Dujmovi\'c

arxiv:1506.04380 v2 · 2015-06-14 · math.CO · cs.CG · 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{GR5DT4NJUZR2BTSLLW7H3ACSDM}

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	2026-05-18T00:40:14.239725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

347a39f1a9a663a0ce4b5dbe7d80521b1283d87158b8a2138b3a7d2ae754db12

Aliases

arxiv: 1506.04380 · arxiv_version: 1506.04380v2 · doi: 10.48550/arxiv.1506.04380 · pith_short_12: GR5DT4NJUZR2 · pith_short_16: GR5DT4NJUZR2BTSL · pith_short_8: GR5DT4NJ

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/GR5DT4NJUZR2BTSLLW7H3ACSDM \
  | 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: 347a39f1a9a663a0ce4b5dbe7d80521b1283d87158b8a2138b3a7d2ae754db12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ecf1817aebf0f12635947efe579e78b20a72de7b4b1f6858afa09270563251",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-14T11:17:47Z",
    "title_canon_sha256": "b655d998b0ad8da65f5f4c1b63575e8e157a6ac03e2932bd3740c3f64ca7262a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04380",
    "kind": "arxiv",
    "version": 2
  }
}