Pith Number

pith:PHHSHT66

pith:2017:PHHSHT66JBG3FIOLOE7SNGYDR6

not attested not anchored not stored refs pending

An algorithm for the numerical evaluation of the associated Legendre functions that runs in time independent of degree and order

James Bremer

arxiv:1707.03287 v1 · 2017-07-10 · 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{PHHSHT66JBG3FIOLOE7SNGYDR6}

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	2026-05-18T00:19:27.697896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79cf23cfde484db2a1cb713f269b038fb763d163069c84d0240c2816e427804d

Aliases

arxiv: 1707.03287 · arxiv_version: 1707.03287v1 · doi: 10.48550/arxiv.1707.03287 · pith_short_12: PHHSHT66JBG3 · pith_short_16: PHHSHT66JBG3FIOL · pith_short_8: PHHSHT66

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/PHHSHT66JBG3FIOLOE7SNGYDR6 \
  | 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: 79cf23cfde484db2a1cb713f269b038fb763d163069c84d0240c2816e427804d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67c066b4edb8d96e9afa771e95a087833a680232c9b5168c33779dcb5f759eb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-07-10T00:13:13Z",
    "title_canon_sha256": "034822330e0216a02d13912193f5a218e358ed70a22fb13d2e94305553cfb6e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03287",
    "kind": "arxiv",
    "version": 1
  }
}