Pith Number

pith:IEI3IDGV

pith:2019:IEI3IDGVB5FUVJILOGWTK7UWE2

not attested not anchored not stored refs pending

Index transforms with the product of the associated Legendre functions

Semyon Yakubovich

arxiv:1904.00926 v2 · 2019-04-01 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IEI3IDGVB5FUVJILOGWTK7UWE2}

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	2026-05-17T23:48:39.263053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4111b40cd50f4b4aa50b71ad357e962691a2aeda5115e122924634520dae737f

Aliases

arxiv: 1904.00926 · arxiv_version: 1904.00926v2 · doi: 10.48550/arxiv.1904.00926 · pith_short_12: IEI3IDGVB5FU · pith_short_16: IEI3IDGVB5FUVJIL · pith_short_8: IEI3IDGV

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/IEI3IDGVB5FUVJILOGWTK7UWE2 \
  | 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: 4111b40cd50f4b4aa50b71ad357e962691a2aeda5115e122924634520dae737f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de38d9fbe4b27b3e82bf9e2e1d621e447ec535d977a57af1b72513e91e23f936",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-04-01T15:55:48Z",
    "title_canon_sha256": "d906147ca4ec4f2cc23d261a5ec9c96bad858b13cb41035b74f3c576ce7ed7a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00926",
    "kind": "arxiv",
    "version": 2
  }
}