Pith Number

pith:VCNGRKMR

pith:2021:VCNGRKMR2WRVCXUBI66WL34USP

not attested not anchored not stored refs pending

On the Minimax Spherical Designs

Guanyang Wang, Jun Yan, Weibo Fu

arxiv:2102.04599 v2 · 2021-02-09 · math.CO · cs.NA · math.MG · math.NA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCNGRKMR2WRVCXUBI66WL34USP}

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	2026-07-05T04:06:14.143095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89a68a991d5a3515e8147bd65ef9493f9f2be91bf328b5bc2b70806bf43db2b

Aliases

arxiv: 2102.04599 · arxiv_version: 2102.04599v2 · doi: 10.48550/arxiv.2102.04599 · pith_short_12: VCNGRKMR2WRV · pith_short_16: VCNGRKMR2WRVCXUB · pith_short_8: VCNGRKMR

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/VCNGRKMR2WRVCXUBI66WL34USP \
  | 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: a89a68a991d5a3515e8147bd65ef9493f9f2be91bf328b5bc2b70806bf43db2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a43965c8b946549b24a40424dbc3385aee9b0335f27f1c8630291cf094cd649",
    "cross_cats_sorted": [
      "cs.NA",
      "math.MG",
      "math.NA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-02-09T01:45:25Z",
    "title_canon_sha256": "2374cc65d2215395c23fac86967ac66b8ae588f63bda14500f24c17c9a6cf3c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.04599",
    "kind": "arxiv",
    "version": 2
  }
}