Pith Number

pith:3PNFKISV

pith:2005:3PNFKISVCBP7ZPPOJG4ICUXMEY

not attested not anchored not stored refs pending

On the characteristic of integral point sets in $\mathbb{E}^m$

Sascha Kurz

arxiv:math/0511704 v1 · 2005-11-29 · 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{3PNFKISVCBP7ZPPOJG4ICUXMEY}

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.

Cited by

1 paper in Pith

On diameter bounds for planar integral point sets in semi-general position

Receipt and verification

First computed	2026-07-04T14:51:45.454536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbda552255105ffcbdee49b88152ec26170893aaa9d083abfd89e9615d0c5c82

Aliases

arxiv: math/0511704 · arxiv_version: math/0511704v1 · doi: 10.48550/arxiv.math/0511704 · pith_short_12: 3PNFKISVCBP7 · pith_short_16: 3PNFKISVCBP7ZPPO · pith_short_8: 3PNFKISV

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/3PNFKISVCBP7ZPPOJG4ICUXMEY \
  | 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: dbda552255105ffcbdee49b88152ec26170893aaa9d083abfd89e9615d0c5c82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1713d6283e4169aa896456a08c8763a225d2d7e26cf48ca0b187fffce52107f9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-11-29T13:40:40Z",
    "title_canon_sha256": "7766dd2cf9741e072bd1aeda7ead1b54cf16175d60444b7c210ee127fc73df00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511704",
    "kind": "arxiv",
    "version": 1
  }
}