Pith Number

pith:RJ2DX2ZQ

pith:2009:RJ2DX2ZQOZYWHIZ2WNBXWYBE7K

not attested not anchored not stored refs pending

Analogues of the central point theorem for families with $d$-intersection property in $\mathbb R^d$

R.N. Karasev

arxiv:0906.2262 v2 · 2009-06-12 · math.MG · 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{RJ2DX2ZQOZYWHIZ2WNBXWYBE7K}

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	2026-05-18T03:15:21.290679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a743beb30767163a33ab3437b6024fab25da28ab231872a51eae05fa1a0ee25

Aliases

arxiv: 0906.2262 · arxiv_version: 0906.2262v2 · doi: 10.48550/arxiv.0906.2262 · pith_short_12: RJ2DX2ZQOZYW · pith_short_16: RJ2DX2ZQOZYWHIZ2 · pith_short_8: RJ2DX2ZQ

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/RJ2DX2ZQOZYWHIZ2WNBXWYBE7K \
  | 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: 8a743beb30767163a33ab3437b6024fab25da28ab231872a51eae05fa1a0ee25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f473d70ea45aa522382508d457f660974ecc14b30cdad62f0b3ac5ea38cfbe7c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-06-12T06:04:00Z",
    "title_canon_sha256": "b86fd542acc7408ad30ec1097df37a76cd43e6960eb08315f1d5b2d107ce6793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2262",
    "kind": "arxiv",
    "version": 2
  }
}