Pith Number

pith:A7ECJMBR

pith:2014:A7ECJMBRP2KJSWA7QIP6S7ANK4

not attested not anchored not stored refs pending

Disjoint edges in topological graphs and the tangled-thrackle conjecture

Andres J. Ruiz-Vargas, Andrew Suk, Csaba D. T\'oth

arxiv:1406.2726 v2 · 2014-06-10 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7ECJMBRP2KJSWA7QIP6S7ANK4}

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	2026-05-18T01:34:55.464784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07c824b0317e9499581f821fe97c0d57094c5a41555a296273933fa0c5a40198

Aliases

arxiv: 1406.2726 · arxiv_version: 1406.2726v2 · doi: 10.48550/arxiv.1406.2726 · pith_short_12: A7ECJMBRP2KJ · pith_short_16: A7ECJMBRP2KJSWA7 · pith_short_8: A7ECJMBR

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/A7ECJMBRP2KJSWA7QIP6S7ANK4 \
  | 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: 07c824b0317e9499581f821fe97c0d57094c5a41555a296273933fa0c5a40198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c9482faab209cc4ae652f97ad32c2d8889acaf93b5a3541bb5afef7df84b1f",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-10T21:18:50Z",
    "title_canon_sha256": "72f3aef3dba3ae56bbd1d1ba48e0a6c2ea066af3c935ec4f046f86bbdb1b2900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2726",
    "kind": "arxiv",
    "version": 2
  }
}