Pith Number

pith:WFD6MPDI

pith:2019:WFD6MPDI443JWDIM37NN3OFKOA

not attested not anchored not stored refs pending

On Theorems of Sinajova, Rankin and Kuperberg Concerning Spherical Point Configurations

A. Y. Alfakih

arxiv:1908.00881 v2 · 2019-08-02 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFD6MPDI443JWDIM37NN3OFKOA}

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	2026-07-04T23:57:51.320406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b147e63c68e7369b0d0cdfdaddb8aa7036043b8691b1c7b85894fe31cbc4a56b

Aliases

arxiv: 1908.00881 · arxiv_version: 1908.00881v2 · doi: 10.48550/arxiv.1908.00881 · pith_short_12: WFD6MPDI443J · pith_short_16: WFD6MPDI443JWDIM · pith_short_8: WFD6MPDI

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/WFD6MPDI443JWDIM37NN3OFKOA \
  | 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: b147e63c68e7369b0d0cdfdaddb8aa7036043b8691b1c7b85894fe31cbc4a56b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea99f6d880856184c35a11dc086edf6e7e06b43c3cde5dd14357a8a4498980e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-08-02T14:37:08Z",
    "title_canon_sha256": "a9af439101d36c3c65fc16f19d4b0ecb432fbeed55f802db884623d383d998a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00881",
    "kind": "arxiv",
    "version": 2
  }
}