Pith Number

pith:QXX6LIFN

pith:2012:QXX6LIFNG4YELDJMFF6FHQ3BMF

not attested not anchored not stored refs pending

A New Integral Equation for the Spheroidal equations in case of m equal 1

Guihua Tian, Shuquan Zhong

arxiv:1201.3313 v1 · 2012-01-05 · physics.gen-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{QXX6LIFNG4YELDJMFF6FHQ3BMF}

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	2026-05-18T04:04:31.634496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85efe5a0ad3730458d2c297c53c3616165041e7962134c5f05e8981c88bbf2a7

Aliases

arxiv: 1201.3313 · arxiv_version: 1201.3313v1 · doi: 10.48550/arxiv.1201.3313 · pith_short_12: QXX6LIFNG4YE · pith_short_16: QXX6LIFNG4YELDJM · pith_short_8: QXX6LIFN

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/QXX6LIFNG4YELDJMFF6FHQ3BMF \
  | 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: 85efe5a0ad3730458d2c297c53c3616165041e7962134c5f05e8981c88bbf2a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5faec77d1fb65df5f33e6ce208b0b9a26b8368a3f5bdeffbc3f22375d2af3a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2012-01-05T05:41:19Z",
    "title_canon_sha256": "a12ae990caec59b682f0a65da4d81345a6ad748f5e400755691e72a929604430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3313",
    "kind": "arxiv",
    "version": 1
  }
}