Pith Number

pith:VGS2SBDI

pith:2017:VGS2SBDIQRHCJAJDLEAVXVHE36

not attested not anchored not stored refs pending

Calculation of SPH and VSH Expansions

Bo Wang, Li-Lian Wang, Ziqing Xie

arxiv:1709.05120 v1 · 2017-09-15 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGS2SBDIQRHCJAJDLEAVXVHE36}

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	2026-05-18T00:35:06.621284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a5a90468844e24812359015bd4e4df9312fe2f0038cd7ce0f07891554cfb1b

Aliases

arxiv: 1709.05120 · arxiv_version: 1709.05120v1 · doi: 10.48550/arxiv.1709.05120 · pith_short_12: VGS2SBDIQRHC · pith_short_16: VGS2SBDIQRHCJAJD · pith_short_8: VGS2SBDI

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/VGS2SBDIQRHCJAJDLEAVXVHE36 \
  | 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: a9a5a90468844e24812359015bd4e4df9312fe2f0038cd7ce0f07891554cfb1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "305213bc0c76c94a7970a0c7eb7cc09703a226a73e904262a13f668c9bb5a8a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-09-15T09:14:34Z",
    "title_canon_sha256": "e33f770b4c0b1d46571eb2169bf6a061b6f95aa98cde3a23ee3cbd6cc218f7f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05120",
    "kind": "arxiv",
    "version": 1
  }
}