Pith Number

pith:6YNVDXX2

pith:2013:6YNVDXX2DHMMVVTVCRJR5HPGOJ

not attested not anchored not stored refs pending

Trees and co-trees with constant maximum degree in planar 3-connected graphs

Therese Biedl

arxiv:1312.4101 v1 · 2013-12-15 · cs.DM · 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{6YNVDXX2DHMMVVTVCRJR5HPGOJ}

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.

Cited by

1 paper in Pith

3-packings in Triangulations: Algorithms, bounds, and Complexity

Receipt and verification

First computed	2026-05-18T03:04:35.721695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f61b51defa19d8cad67514531e9de6726675ed438364c228ff7428062f86858e

Aliases

arxiv: 1312.4101 · arxiv_version: 1312.4101v1 · doi: 10.48550/arxiv.1312.4101 · pith_short_12: 6YNVDXX2DHMM · pith_short_16: 6YNVDXX2DHMMVVTV · pith_short_8: 6YNVDXX2

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/6YNVDXX2DHMMVVTVCRJR5HPGOJ \
  | 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: f61b51defa19d8cad67514531e9de6726675ed438364c228ff7428062f86858e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dedb295fd10ea676b0ddef75cf4077258cb0974ada0f3764998f3a98f01590b2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-12-15T02:45:07Z",
    "title_canon_sha256": "7b783dd862643ecd860a04df4f16aaedbb7720e2c5d1c431c33ca1adc3d9d3b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4101",
    "kind": "arxiv",
    "version": 1
  }
}