Pith Number

pith:4GOK37EU

pith:2009:4GOK37EUNQ6XIRLFFS6Y33NRIN

not attested not anchored not stored refs pending

The integral property of the spheroidal wave functions

Guihua Tian, Shuquan Zhong

arxiv:0906.5563 v3 · 2009-06-30 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GOK37EUNQ6XIRLFFS6Y33NRIN}

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	2026-05-18T04:35:14.997619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e19cadfc946c3d7445652cbd8dedb1436cce450163712678aa2a91d7bd696c10

Aliases

arxiv: 0906.5563 · arxiv_version: 0906.5563v3 · doi: 10.48550/arxiv.0906.5563 · pith_short_12: 4GOK37EUNQ6X · pith_short_16: 4GOK37EUNQ6XIRLF · pith_short_8: 4GOK37EU

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/4GOK37EUNQ6XIRLFFS6Y33NRIN \
  | 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: e19cadfc946c3d7445652cbd8dedb1436cce450163712678aa2a91d7bd696c10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cd445b46c5344eb2d9edf8e1a18be9ce708d0cf46ec17c6ad6b9dca4b8db34d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-06-30T15:22:06Z",
    "title_canon_sha256": "a89785e2af28b44f488a238cea95b9647bfd7db07cecfec033d39fdc4e5ead95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5563",
    "kind": "arxiv",
    "version": 3
  }
}