Pith Number

pith:SLKF7WHH

pith:2016:SLKF7WHHLC7TYSGFTDEOO3RSNW

not attested not anchored not stored refs pending

Geodesic distance Riesz energy on the sphere

Dmitriy Bilyk, Feng Dai

arxiv:1612.08442 v1 · 2016-12-26 · 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{SLKF7WHHLC7TYSGFTDEOO3RSNW}

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.

Cited by

1 paper in Pith

Energy on spheres and discreteness of minimizing measures

Receipt and verification

First computed	2026-05-18T00:53:53.039532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92d45fd8e758bf3c48c598c8e76e326dab4e0e7238b96c562786e9317bd82759

Aliases

arxiv: 1612.08442 · arxiv_version: 1612.08442v1 · doi: 10.48550/arxiv.1612.08442 · pith_short_12: SLKF7WHHLC7T · pith_short_16: SLKF7WHHLC7TYSGF · pith_short_8: SLKF7WHH

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/SLKF7WHHLC7TYSGFTDEOO3RSNW \
  | 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: 92d45fd8e758bf3c48c598c8e76e326dab4e0e7238b96c562786e9317bd82759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e732ed12323a27e81712f7cf46a658c9a59b2a7fb6e38c4f8490f1c4beb11071",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-26T21:33:37Z",
    "title_canon_sha256": "8c54c4a9b8d019ed2456a9a54f0f3cf6b8621baab9a5fc99eea6f819e73bfabb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08442",
    "kind": "arxiv",
    "version": 1
  }
}