Pith Number

pith:BJZAS3LT

pith:2013:BJZAS3LTTXOSAUHB2O7ZXM2ULZ

not attested not anchored not stored refs pending

Helly type theorems for the sum of vectors in a normed plane

Imre B\'ar\'any, Jes\'us Jer\'onimo-Castro

arxiv:1310.0910 v1 · 2013-10-03 · 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{BJZAS3LTTXOSAUHB2O7ZXM2ULZ}

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	2026-05-18T03:11:25.050355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a72096d739ddd2050e1d3bf9bb3545e62eaec857f42357fd4a0e193b7f12c5d

Aliases

arxiv: 1310.0910 · arxiv_version: 1310.0910v1 · doi: 10.48550/arxiv.1310.0910 · pith_short_12: BJZAS3LTTXOS · pith_short_16: BJZAS3LTTXOSAUHB · pith_short_8: BJZAS3LT

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/BJZAS3LTTXOSAUHB2O7ZXM2ULZ \
  | 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: 0a72096d739ddd2050e1d3bf9bb3545e62eaec857f42357fd4a0e193b7f12c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "133f29e535e6d92d90831faf84657ecb09b55146a987954b6444990f5627fc85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-10-03T06:43:32Z",
    "title_canon_sha256": "390e55ac3ab0052b3ca9ed4692817fff5ae6941a00ed4c4912c4628900db0ccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0910",
    "kind": "arxiv",
    "version": 1
  }
}