Pith Number

pith:L3264PVE

pith:2014:L3264PVEXH7RLNRIFDVIO7HGOI

not attested not anchored not stored refs pending

On the Beer index of convexity and its variants

Bartosz Walczak, Martin Balko, Pavel Valtr, V\'it Jel\'inek

arxiv:1412.1769 v2 · 2014-12-04 · math.MG · cs.CG · 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{L3264PVEXH7RLNRIFDVIO7HGOI}

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	2026-05-18T00:53:51.436244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ef5ee3ea4b9ff15b62828ea877ce672248f0fcc6d165385bbda9650ec2b0aa7

Aliases

arxiv: 1412.1769 · arxiv_version: 1412.1769v2 · doi: 10.48550/arxiv.1412.1769 · pith_short_12: L3264PVEXH7R · pith_short_16: L3264PVEXH7RLNRI · pith_short_8: L3264PVE

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/L3264PVEXH7RLNRIFDVIO7HGOI \
  | 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: 5ef5ee3ea4b9ff15b62828ea877ce672248f0fcc6d165385bbda9650ec2b0aa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce7684c0c197de789fc071d7b7dbde269bd38fcd0476533ff44729d5abfa3c5",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-12-04T18:59:05Z",
    "title_canon_sha256": "83db5f5bcbc4c762a6efb61f1f9d203903406dac767d2f0eb8992fb308a49fbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1769",
    "kind": "arxiv",
    "version": 2
  }
}