Pith Number

pith:7ZZCDA76

pith:2015:7ZZCDA76ZAK73C7TABLODCIQIR

not attested not anchored not stored refs pending

Proof of a conjecture of B\'ar\'any, Katchalski and Pach

Marton Naszodi

arxiv:1503.07491 v1 · 2015-03-25 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ZZCDA76ZAK73C7TABLODCIQIR}

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	2026-05-18T02:20:20.910653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe722183fec815fd8bf30056e189104478f5ad7281878c7dcfb7ced85b4216ee

Aliases

arxiv: 1503.07491 · arxiv_version: 1503.07491v1 · doi: 10.48550/arxiv.1503.07491 · pith_short_12: 7ZZCDA76ZAK7 · pith_short_16: 7ZZCDA76ZAK73C7T · pith_short_8: 7ZZCDA76

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/7ZZCDA76ZAK73C7TABLODCIQIR \
  | 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: fe722183fec815fd8bf30056e189104478f5ad7281878c7dcfb7ced85b4216ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df9d945c7d7e623b605396a804fca5f45d2fd3b88272d89e646984612923b6e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-03-25T18:55:08Z",
    "title_canon_sha256": "fb1995fd008d1c74b3b7bf404d6cffb28b0720f09c56572bc045a990c4579683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07491",
    "kind": "arxiv",
    "version": 1
  }
}