Pith Number

pith:42B73AF4

pith:2014:42B73AF4PBSH7ZMMNN2ZAA5FMA

not attested not anchored not stored refs pending

On triple intersections of three families of unit circles

J\'ozsef Solymosi, Micha Sharir, Orit E. Raz

arxiv:1407.6625 v2 · 2014-07-24 · 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{42B73AF4PBSH7ZMMNN2ZAA5FMA}

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	2026-05-18T01:11:08.756252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e683fd80bc78647fe58c6b759003a5601bdaa903cdcdd6fd0a9ca36a88914e7c

Aliases

arxiv: 1407.6625 · arxiv_version: 1407.6625v2 · doi: 10.48550/arxiv.1407.6625 · pith_short_12: 42B73AF4PBSH · pith_short_16: 42B73AF4PBSH7ZMM · pith_short_8: 42B73AF4

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/42B73AF4PBSH7ZMMNN2ZAA5FMA \
  | 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: e683fd80bc78647fe58c6b759003a5601bdaa903cdcdd6fd0a9ca36a88914e7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8922ee22a146eab6e5c925da4fd0deec171be3c407704c52fcdf1a0b82c38d73",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-07-24T15:50:03Z",
    "title_canon_sha256": "4432a53e29b82161899082d9d99dc27d396bbbc00472eda88eac39376996fcd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6625",
    "kind": "arxiv",
    "version": 2
  }
}