Pith Number

pith:X7AB2DDD

pith:2018:X7AB2DDDU6F3UPMH7XAD3CHNVC

not attested not anchored not stored refs pending

On the Fejes T\'oth Problem about the Sum of Angles Between Lines

Dmitriy Bilyk, Ryan W Matzke

arxiv:1801.07837 v1 · 2018-01-24 · math.MG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7AB2DDDU6F3UPMH7XAD3CHNVC}

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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.

Cited by

1 paper in Pith

Energy on spheres and discreteness of minimizing measures

Receipt and verification

First computed	2026-05-18T00:25:10.725247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc01d0c63a78bba3d87fdc03d88eda897a468f0800a21926c656c7937aadda0

Aliases

arxiv: 1801.07837 · arxiv_version: 1801.07837v1 · doi: 10.48550/arxiv.1801.07837 · pith_short_12: X7AB2DDDU6F3 · pith_short_16: X7AB2DDDU6F3UPMH · pith_short_8: X7AB2DDD

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/X7AB2DDDU6F3UPMH7XAD3CHNVC \
  | 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: bfc01d0c63a78bba3d87fdc03d88eda897a468f0800a21926c656c7937aadda0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2b192a3ad1ba37aa905277632a5920a9a07f9018d72257f46e86804c2be30c",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-01-24T02:14:00Z",
    "title_canon_sha256": "7878982497b5b52783ebe497a5ba0f3ca1e0ea81602dcf9fe89fab0a27cacc7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07837",
    "kind": "arxiv",
    "version": 1
  }
}