Pith Number

pith:W46KMVPF

pith:2016:W46KMVPFFAYZ23KZEW2QXW66YU

not attested not anchored not stored refs pending

Minimum Size of Feedback Vertex Sets of Planar Graphs of Girth at least Five

Chun-Hung Liu, Tom Kelly

arxiv:1603.04559 v2 · 2016-03-15 · 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{W46KMVPFFAYZ23KZEW2QXW66YU}

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	2026-05-18T00:56:37.940211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b73ca655e528319d6d5925b50bdbdec513be2d4a1711693e9a3084ffb3f70b47

Aliases

arxiv: 1603.04559 · arxiv_version: 1603.04559v2 · doi: 10.48550/arxiv.1603.04559 · pith_short_12: W46KMVPFFAYZ · pith_short_16: W46KMVPFFAYZ23KZ · pith_short_8: W46KMVPF

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/W46KMVPFFAYZ23KZEW2QXW66YU \
  | 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: b73ca655e528319d6d5925b50bdbdec513be2d4a1711693e9a3084ffb3f70b47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "058d66bcfdfe208edc5484595fd5b5f5f30db62c8ad467f99261a84c0c552f36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-15T05:42:00Z",
    "title_canon_sha256": "ecdc510861aa87541157cc21229a55034922533f3fa315d5d4374b7ff3f63586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04559",
    "kind": "arxiv",
    "version": 2
  }
}