Pith Number

pith:XFPUG4EM

pith:2012:XFPUG4EM2Q23FRGK4NCULEDK54

not attested not anchored not stored refs pending

Certain inequalities involving prolate spheroidal wave functions and associated quantities

Andrei Osipov

arxiv:1206.4056 v1 · 2012-06-18 · math.CA · 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{XFPUG4EM2Q23FRGK4NCULEDK54}

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	2026-05-18T03:38:34.401924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b95f43708cd435b2c4cae34545906aef2b7e4dc5a94acf73381e933d758247ad

Aliases

arxiv: 1206.4056 · arxiv_version: 1206.4056v1 · doi: 10.48550/arxiv.1206.4056 · pith_short_12: XFPUG4EM2Q23 · pith_short_16: XFPUG4EM2Q23FRGK · pith_short_8: XFPUG4EM

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/XFPUG4EM2Q23FRGK4NCULEDK54 \
  | 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: b95f43708cd435b2c4cae34545906aef2b7e4dc5a94acf73381e933d758247ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc191a915d49ac9b3f255d869d6ecfc85fd398fd489a56f845290342bcb97c38",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-18T20:00:54Z",
    "title_canon_sha256": "9bb958d7765f26d0fa5e77315c783e4bc6606326a969ebec043d1cbdce8c2ae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4056",
    "kind": "arxiv",
    "version": 1
  }
}