Pith Number

pith:PTHPJBOQ

pith:2014:PTHPJBOQASIVUGXI4D6JZ3EXHB

not attested not anchored not stored refs pending

The cone volume measure of antipodal points

Karoly J. B\"or\"oczky, Pal Hegedus

arxiv:1410.1066 v2 · 2014-10-04 · 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{PTHPJBOQASIVUGXI4D6JZ3EXHB}

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	2026-05-18T02:29:24.751444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ccef485d004915a1ae8e0fc9cec973868c536aa6fe86422fccff05942c625be

Aliases

arxiv: 1410.1066 · arxiv_version: 1410.1066v2 · doi: 10.48550/arxiv.1410.1066 · pith_short_12: PTHPJBOQASIV · pith_short_16: PTHPJBOQASIVUGXI · pith_short_8: PTHPJBOQ

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/PTHPJBOQASIVUGXI4D6JZ3EXHB \
  | 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: 7ccef485d004915a1ae8e0fc9cec973868c536aa6fe86422fccff05942c625be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f84c0049a3f91c27876bb5a8c2324d186bc25886ce088dd4db0f323e5459b46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-10-04T17:27:03Z",
    "title_canon_sha256": "52742095da0279c39d4f716de77669e7b3150eed7ca23655aa1ee5e599284107"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1066",
    "kind": "arxiv",
    "version": 2
  }
}