Pith Number

pith:QBURI6QH

pith:2010:QBURI6QHS5A2BN5K5S62MXYEBH

not attested not anchored not stored refs pending

Tverberg-type theorems for intersecting by rays

R.N. Karasev

arxiv:1007.3072 v1 · 2010-07-19 · 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{QBURI6QHS5A2BN5K5S62MXYEBH}

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	2026-05-18T04:18:53.304262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8069147a079741a0b7aaecbda65f0409f06621acc6618f395c6993c6647f80eb

Aliases

arxiv: 1007.3072 · arxiv_version: 1007.3072v1 · doi: 10.48550/arxiv.1007.3072 · pith_short_12: QBURI6QHS5A2 · pith_short_16: QBURI6QHS5A2BN5K · pith_short_8: QBURI6QH

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/QBURI6QHS5A2BN5K5S62MXYEBH \
  | 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: 8069147a079741a0b7aaecbda65f0409f06621acc6618f395c6993c6647f80eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b5ac557e122fa88ebaaa8eae9aa46009cb255ddf54defe6522cca2e8f9d9c2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-19T07:12:37Z",
    "title_canon_sha256": "da120089b5139eb9d644883828e6e0289a83495132b03cedf6503e15bfb0ca1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3072",
    "kind": "arxiv",
    "version": 1
  }
}