Pith Number

pith:ZFTPNRBY

pith:2016:ZFTPNRBYIRPUYVV2MJV2EXRC2V

not attested not anchored not stored refs pending

A fully diagonalized spectral method using generalized Laguerre functions on the half line

Fu-jun Liu, Huiyuan Li, Zhong-qing Wang

arxiv:1609.06098 v1 · 2016-09-20 · 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{ZFTPNRBYIRPUYVV2MJV2EXRC2V}

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	2026-05-18T01:04:16.677925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c966f6c438445f4c56ba626ba25e22d544be934ecf31ea2a0ec268c39f1fd89c

Aliases

arxiv: 1609.06098 · arxiv_version: 1609.06098v1 · doi: 10.48550/arxiv.1609.06098 · pith_short_12: ZFTPNRBYIRPU · pith_short_16: ZFTPNRBYIRPUYVV2 · pith_short_8: ZFTPNRBY

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/ZFTPNRBYIRPUYVV2MJV2EXRC2V \
  | 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: c966f6c438445f4c56ba626ba25e22d544be934ecf31ea2a0ec268c39f1fd89c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce8a30698cb5017702615934245efe3c791f578206d729860155c8fbe0e83ca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-09-20T11:11:27Z",
    "title_canon_sha256": "f61ea4394d6030848f49f2a64f0f89a384a96c1195174b750a97b3820a02350c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06098",
    "kind": "arxiv",
    "version": 1
  }
}