Pith Number

pith:MO5NIXY2

pith:2025:MO5NIXY2OTKFFD24GGRXDNM7AS

not attested not anchored not stored refs pending

Cutting Planarians: Planar Emulators for String Graphs

Da Wei Zheng, Hsien-Chih Chang, Jonathan Conroy, Zihan Tan

arxiv:2510.21700 v2 · 2025-10-24 · cs.DS · cs.CG · cs.DM · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MO5NIXY2OTKFFD24GGRXDNM7AS}

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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.

Cited by

2 papers in Pith

A coarse Menger's Theorem for planar and bounded genus graphs

Sparse String Graphs and Region Intersection Graphs over Minor-Closed Classes have Linear Expansion

Receipt and verification

First computed	2026-06-25T01:18:35.877285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63bad45f1a74d4528f5c31a371b59f0495e76c69a15f951e02cbe704e470c0ba

Aliases

arxiv: 2510.21700 · arxiv_version: 2510.21700v2 · doi: 10.48550/arxiv.2510.21700 · pith_short_12: MO5NIXY2OTKF · pith_short_16: MO5NIXY2OTKFFD24 · pith_short_8: MO5NIXY2

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/MO5NIXY2OTKFFD24GGRXDNM7AS \
  | 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: 63bad45f1a74d4528f5c31a371b59f0495e76c69a15f951e02cbe704e470c0ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aef6b77472d261c4f6c3271585a26b3543e560a71678f66ddb2836f4eca5f24",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM",
      "math.CO",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-10-24T17:58:03Z",
    "title_canon_sha256": "976b93d72e6adb3fe741fb5d67f55324140968917d5f02328cdfc897ca5ef76d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.21700",
    "kind": "arxiv",
    "version": 2
  }
}