Pith Number

pith:KDPM4AMK

pith:2012:KDPM4AMKT4RYKWT25CRKDGX7RZ

not attested not anchored not stored refs pending

Empty pentagons in point sets with collinearities

Daria Schymura, David R. Wood, Gwena\"el Joret, J\'anos Bar\'at, Ludmila Scharf, Michael S. Payne, Pavel Valtr, Vida Dujmovi\'c

arxiv:1207.3633 v1 · 2012-07-16 · math.CO · cs.CG · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KDPM4AMKT4RYKWT25CRKDGX7RZ}

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	2026-05-18T02:27:06.131372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50dece018a9f23855a7ae8a2a19aff8e4a8fad1493ffbc429b965a61d5402757

Aliases

arxiv: 1207.3633 · arxiv_version: 1207.3633v1 · doi: 10.48550/arxiv.1207.3633 · pith_short_12: KDPM4AMKT4RY · pith_short_16: KDPM4AMKT4RYKWT2 · pith_short_8: KDPM4AMK

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/KDPM4AMKT4RYKWT25CRKDGX7RZ \
  | 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: 50dece018a9f23855a7ae8a2a19aff8e4a8fad1493ffbc429b965a61d5402757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f6a5563b0b9f44fb39aa16407a9a66e5254a92524b95bca1e9eb34dd059800e",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-16T11:41:29Z",
    "title_canon_sha256": "1f198688907342dfd9fbac705d174cdef354dc624e5f60973fa39c1974a3f5db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3633",
    "kind": "arxiv",
    "version": 1
  }
}