Pith Number

pith:LEYQ3BGZ

pith:2011:LEYQ3BGZ7FJY5WBEVCHTI76WEO

not attested not anchored not stored refs pending

Geometric integration on spheres and some interesting applications

Debra Lewis, Nilima Nigam

arxiv:1112.0547 v1 · 2011-12-02 · 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{LEYQ3BGZ7FJY5WBEVCHTI76WEO}

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	2026-05-18T04:07:07.061359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59310d84d9f9538ed824a88f347fd6238055e71c05289fb4f0cc60c4a6102df9

Aliases

arxiv: 1112.0547 · arxiv_version: 1112.0547v1 · doi: 10.48550/arxiv.1112.0547 · pith_short_12: LEYQ3BGZ7FJY · pith_short_16: LEYQ3BGZ7FJY5WBE · pith_short_8: LEYQ3BGZ

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/LEYQ3BGZ7FJY5WBEVCHTI76WEO \
  | 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: 59310d84d9f9538ed824a88f347fd6238055e71c05289fb4f0cc60c4a6102df9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ebecca3fc9f7b48b52f21fb06f3ac68a92c92c207abb4f18a118f9f3244dcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-12-02T19:46:01Z",
    "title_canon_sha256": "031356ab98cfcd57e8a58dd26da4b452d32cfa09cbcad8b3e93fb451894ab15c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0547",
    "kind": "arxiv",
    "version": 1
  }
}