Pith Number

pith:DSS77AV6

pith:2021:DSS77AV6YOYGGJNHF2DSCICZ6M

not attested not anchored not stored refs pending

Riesz energy problems with external fields and related theory

Edward B. Saff, Franck Wielonsky, Peter Dragnev, Ramon Orive

arxiv:2104.03733 v3 · 2021-04-08 · 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{DSS77AV6YOYGGJNHF2DSCICZ6M}

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

Wasserstein gradient flows of Maximum Mean Discrepancy with energy kernels

Receipt and verification

First computed	2026-07-05T04:24:21.589566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ca5ff82bec3b06325a72e87212059f30938499b1b30a3fbe67b7ec2d706fcb1

Aliases

arxiv: 2104.03733 · arxiv_version: 2104.03733v3 · doi: 10.48550/arxiv.2104.03733 · pith_short_12: DSS77AV6YOYG · pith_short_16: DSS77AV6YOYGGJNH · pith_short_8: DSS77AV6

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/DSS77AV6YOYGGJNHF2DSCICZ6M \
  | 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: 1ca5ff82bec3b06325a72e87212059f30938499b1b30a3fbe67b7ec2d706fcb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11e1077e56313e1c47dee369d376496109b673644de35efb743e4bcab1723277",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-04-08T12:35:14Z",
    "title_canon_sha256": "6ebc9b57ad5124513b650f1e5fb51cca93c189d22a70d5f5347ea360b925ecad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.03733",
    "kind": "arxiv",
    "version": 3
  }
}