Pith Number

pith:QQ6WLJ52

pith:2014:QQ6WLJ52Q5Q4DVBMPLOLYBTQPI

not attested not anchored not stored refs pending

On Convex Geometric Graphs with no $k+1$ Pairwise Disjoint Edges

Chaya Keller, Micha A. Perles

arxiv:1405.4019 v2 · 2014-05-15 · 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{QQ6WLJ52Q5Q4DVBMPLOLYBTQPI}

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	2026-05-18T02:17:21.995883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843d65a7ba8761c1d42c7adcbc06707a081a3f59740496fc5716c2c924aa46e7

Aliases

arxiv: 1405.4019 · arxiv_version: 1405.4019v2 · doi: 10.48550/arxiv.1405.4019 · pith_short_12: QQ6WLJ52Q5Q4 · pith_short_16: QQ6WLJ52Q5Q4DVBM · pith_short_8: QQ6WLJ52

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/QQ6WLJ52Q5Q4DVBMPLOLYBTQPI \
  | 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: 843d65a7ba8761c1d42c7adcbc06707a081a3f59740496fc5716c2c924aa46e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1ba7a7dbfa6dadc7eed290b2a6ace29fac664d31de8c6d76ea70b0778b89bec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-15T21:23:41Z",
    "title_canon_sha256": "a216119e667135fae3c6d860bef596dc51ee188be4a30d9a3f5daf251ce30ba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4019",
    "kind": "arxiv",
    "version": 2
  }
}