Pith Number

pith:GYBPBDKU

pith:2020:GYBPBDKUS37J5NRNX762OACWQP

not attested not anchored not stored refs pending

Variation bounds for spherical averages

Andreas Seeger, Betsy Stovall, David Beltran, Luz Roncal, Richard Oberlin

arxiv:2009.07366 v2 · 2020-09-15 · 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{GYBPBDKUS37J5NRNX762OACWQP}

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	2026-07-05T03:24:55.153888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3602f08d5496fe9eb62dbffda7005683c8c0a63460c49fb81aad37944d1ca4a6

Aliases

arxiv: 2009.07366 · arxiv_version: 2009.07366v2 · doi: 10.48550/arxiv.2009.07366 · pith_short_12: GYBPBDKUS37J · pith_short_16: GYBPBDKUS37J5NRN · pith_short_8: GYBPBDKU

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/GYBPBDKUS37J5NRNX762OACWQP \
  | 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: 3602f08d5496fe9eb62dbffda7005683c8c0a63460c49fb81aad37944d1ca4a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b0b8f3bc670b588b4e54a21930adc67e6596e0140b52718c1501b714fbd4884",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2020-09-15T21:58:11Z",
    "title_canon_sha256": "ec8261012040fc8dde3ef88da41ea15496d6199ffbc14a84eac7bedacd36a112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.07366",
    "kind": "arxiv",
    "version": 2
  }
}