Pith Number

pith:5USDVIHX

pith:2017:5USDVIHXBIFJMY7C4S5MYXYG4B

not attested not anchored not stored refs pending

Lebedev's type index transforms with the squares of the associated Legendre functions

Semyon Yakubovich

arxiv:1701.03626 v1 · 2017-01-13 · 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{5USDVIHXBIFJMY7C4S5MYXYG4B}

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	2026-05-18T00:52:54.325062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed243aa0f70a0a9663e2e4bacc5f06e057e7db141e10f2bbeaffd14863d0add8

Aliases

arxiv: 1701.03626 · arxiv_version: 1701.03626v1 · doi: 10.48550/arxiv.1701.03626 · pith_short_12: 5USDVIHXBIFJ · pith_short_16: 5USDVIHXBIFJMY7C · pith_short_8: 5USDVIHX

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/5USDVIHXBIFJMY7C4S5MYXYG4B \
  | 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: ed243aa0f70a0a9663e2e4bacc5f06e057e7db141e10f2bbeaffd14863d0add8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3c1e54d4dcd137f44f2803a7a16fa9a86f0032a33ab908ed79c0091dbf779a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-01-13T11:06:18Z",
    "title_canon_sha256": "3c18b93f388cc7a229c03c8bec846358fed4e3dacd8093b974e6b16ac6abc366"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03626",
    "kind": "arxiv",
    "version": 1
  }
}