Pith Number

pith:X6SIV5FF

pith:2016:X6SIV5FF7AQGFIC5E6JGJBHFXZ

not attested not anchored not stored refs pending

Arrangements of homothets of a convex body

J\'anos Pach, Konrad Swanepoel, M\'arton Nasz\'odi

arxiv:1608.04639 v3 · 2016-08-16 · math.MG · math.CO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6SIV5FF7AQGFIC5E6JGJBHFXZ}

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	2026-05-18T00:38:04.242156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfa48af4a5f82062a05d27926484e5be56a88f43ed576f13fda0cf4fb32bf87e

Aliases

arxiv: 1608.04639 · arxiv_version: 1608.04639v3 · doi: 10.48550/arxiv.1608.04639 · pith_short_12: X6SIV5FF7AQG · pith_short_16: X6SIV5FF7AQGFIC5 · pith_short_8: X6SIV5FF

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/X6SIV5FF7AQGFIC5E6JGJBHFXZ \
  | 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: bfa48af4a5f82062a05d27926484e5be56a88f43ed576f13fda0cf4fb32bf87e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af1d670720c19c150b0e8cda88f71a91339786288fcf9ee6db6c0edc3e14747b",
    "cross_cats_sorted": [
      "math.CO",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-08-16T15:38:45Z",
    "title_canon_sha256": "e40c0649a029f96a06b78cf0e4d250b6a60b06a35d4588f2f5f3427d049bf2a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04639",
    "kind": "arxiv",
    "version": 3
  }
}