Pith Number

pith:FG3AAH6Y

pith:2014:FG3AAH6YC2CIAE72PG5LCIF6WM

not attested not anchored not stored refs pending

Derivatives with respect to the order of the Legendre Polynomials

Bernard J. Laurenzi

arxiv:1502.06507 v1 · 2014-12-30 · 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{FG3AAH6YC2CIAE72PG5LCIF6WM}

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	2026-05-18T02:26:32.373830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29b6001fd816848013fa79bab120beb313a7a01301ed8604c2b7b01d87c8b775

Aliases

arxiv: 1502.06507 · arxiv_version: 1502.06507v1 · doi: 10.48550/arxiv.1502.06507 · pith_short_12: FG3AAH6YC2CI · pith_short_16: FG3AAH6YC2CIAE72 · pith_short_8: FG3AAH6Y

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/FG3AAH6YC2CIAE72PG5LCIF6WM \
  | 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: 29b6001fd816848013fa79bab120beb313a7a01301ed8604c2b7b01d87c8b775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e103da2b5b53551984a0f74b9af03e895cee6912b10a80911103447adb6039c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-12-30T17:44:17Z",
    "title_canon_sha256": "38ffea414f2faa96bb7b8689e9946eaad6b2230eba745a2ad8d147a7a8a2a3ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06507",
    "kind": "arxiv",
    "version": 1
  }
}