Pith Number

pith:VZ4ZUK7R

pith:2015:VZ4ZUK7RS44355ZA2NVXWAZA2J

not attested not anchored not stored refs pending

Computing with functions in spherical and polar geometries I. The sphere

Alex Townsend, Grady B. Wright, Heather Wilber

arxiv:1510.08094 v2 · 2015-10-27 · 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{VZ4ZUK7RS44355ZA2NVXWAZA2J}

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	2026-05-18T01:17:52.320053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae799a2bf19739bef720d36b7b0320d2472828db08c301687cc678e73a17508f

Aliases

arxiv: 1510.08094 · arxiv_version: 1510.08094v2 · doi: 10.48550/arxiv.1510.08094 · pith_short_12: VZ4ZUK7RS443 · pith_short_16: VZ4ZUK7RS44355ZA · pith_short_8: VZ4ZUK7R

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/VZ4ZUK7RS44355ZA2NVXWAZA2J \
  | 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: ae799a2bf19739bef720d36b7b0320d2472828db08c301687cc678e73a17508f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6028d554bf619b2b68756ac7087babe9b93f71c556d88a9f0416438c3a58b69a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-10-27T20:56:30Z",
    "title_canon_sha256": "db018db13e8f10cf8f63a993bb917c21ce838c245f49dc3e72dfeab0d0617506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08094",
    "kind": "arxiv",
    "version": 2
  }
}