Pith Number

pith:2WN5DH3C

pith:2020:2WN5DH3CEUBBFPL25YZZWSYXWM

not attested not anchored not stored refs pending

Decomposing a triangle-free planar graph into a forest and a subcubic forest

Carl Feghali, Robert \v{S}\'amal

arxiv:2012.15100 v3 · 2020-12-30 · 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{2WN5DH3CEUBBFPL25YZZWSYXWM}

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	2026-07-05T05:38:39.088074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d59bd19f62250212bd7aee339b4b17b32bfa24abadea11cffb92d7faff8f7d5c

Aliases

arxiv: 2012.15100 · arxiv_version: 2012.15100v3 · doi: 10.48550/arxiv.2012.15100 · pith_short_12: 2WN5DH3CEUBB · pith_short_16: 2WN5DH3CEUBBFPL2 · pith_short_8: 2WN5DH3C

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/2WN5DH3CEUBBFPL25YZZWSYXWM \
  | 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: d59bd19f62250212bd7aee339b4b17b32bfa24abadea11cffb92d7faff8f7d5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39126b8dab897f5ec39d9cfba46b2fe537901935259551bf331146d36ea419fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-12-30T10:12:43Z",
    "title_canon_sha256": "f6bb1b6b9531d4ea275f9a2c95e3e850a8dd62d7fba121e0d96baf8fe129c224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.15100",
    "kind": "arxiv",
    "version": 3
  }
}