Pith Number

pith:L6P3B6HR

pith:2017:L6P3B6HRV5IVBYMGM4KQV4L2X3

not attested not anchored not stored refs pending

Ball characterizations in spaces of constant curvature

E. Makai, J. Jer\'onimo-Castro, jr

arxiv:1708.01510 v3 · 2017-08-03 · 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{L6P3B6HRV5IVBYMGM4KQV4L2X3}

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	2026-05-18T00:11:32.491452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f9fb0f8f1af5150e18667150af17abeec28306c7daa9a04325917c96379145f

Aliases

arxiv: 1708.01510 · arxiv_version: 1708.01510v3 · doi: 10.48550/arxiv.1708.01510 · pith_short_12: L6P3B6HRV5IV · pith_short_16: L6P3B6HRV5IVBYMG · pith_short_8: L6P3B6HR

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/L6P3B6HRV5IVBYMGM4KQV4L2X3 \
  | 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: 5f9fb0f8f1af5150e18667150af17abeec28306c7daa9a04325917c96379145f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc464bda9b23a1bf5b7b15c746441d13e186811bb9091f3678d004e3165d4d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-08-03T12:00:45Z",
    "title_canon_sha256": "59378f6b665fdcb778145752334f74ade19c3b19cde0e413562fafd20346a1b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01510",
    "kind": "arxiv",
    "version": 3
  }
}