Pith Number

pith:6TPDMXUA

pith:2015:6TPDMXUAX7LOZURRHA6CUNHPBD

not attested not anchored not stored refs pending

Splitting Planar Graphs of Girth 6 into Two Linear Forests with Short Paths

Maria Axenovich, Pascal Weiner, Torsten Ueckerdt

arxiv:1507.02815 v1 · 2015-07-10 · math.CO · cs.DM

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

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	2026-05-18T01:37:03.138498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4de365e80bfd6ecd231383c2a34ef08d594f6fbc106a94a76c77765901d2c89

Aliases

arxiv: 1507.02815 · arxiv_version: 1507.02815v1 · doi: 10.48550/arxiv.1507.02815 · pith_short_12: 6TPDMXUAX7LO · pith_short_16: 6TPDMXUAX7LOZURR · pith_short_8: 6TPDMXUA

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/6TPDMXUAX7LOZURRHA6CUNHPBD \
  | 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: f4de365e80bfd6ecd231383c2a34ef08d594f6fbc106a94a76c77765901d2c89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59f521e37bf146163bac597570c24a0c3de75de3b77ef8f49d074811f293f8a0",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-10T09:15:59Z",
    "title_canon_sha256": "3e871ba65f3bfdb83afcbc5f27a8448f82fdd17ddc4e7f9a6349d08217a00940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02815",
    "kind": "arxiv",
    "version": 1
  }
}