Pith Number

pith:QXJGGZSX

pith:2016:QXJGGZSXM2AYMBIGAKC3HAWKUL

not attested not anchored not stored refs pending

A better bound on the largest induced forests in triangle-free planar graphs

Hung Le

arxiv:1611.04546 v2 · 2016-11-14 · 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{QXJGGZSXM2AYMBIGAKC3HAWKUL}

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	2026-05-18T00:52:03.754910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d263665766818605060285b382caa2d30f0c67bc3c41e54136a5a33874cfa0

Aliases

arxiv: 1611.04546 · arxiv_version: 1611.04546v2 · doi: 10.48550/arxiv.1611.04546 · pith_short_12: QXJGGZSXM2AY · pith_short_16: QXJGGZSXM2AYMBIG · pith_short_8: QXJGGZSX

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/QXJGGZSXM2AYMBIGAKC3HAWKUL \
  | 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: 85d263665766818605060285b382caa2d30f0c67bc3c41e54136a5a33874cfa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab4e7975b0be4563b3eba5aa6745acbd37d60b6b21baa2b35e5798760a17d039",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-14T20:07:06Z",
    "title_canon_sha256": "4aaed54d150e16fecf1990213369510a2a3aa2edd2100982e35bf3132d18e3de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04546",
    "kind": "arxiv",
    "version": 2
  }
}