Pith Number

pith:C5FXOUHR

pith:2015:C5FXOUHR7KZUWRE5JIW5WTQ7DA

not attested not anchored not stored refs pending

Tensor calculus in polar coordinates using Jacobi polynomials

Benjamin P. Brown, Daniel Lecoanet, Geoffrey M. Vasil, Jeffrey S. Oishi, Keaton J. Burns, Sheehan Olver

arxiv:1509.07624 v3 · 2015-09-25 · math.NA · astro-ph.IM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5FXOUHR7KZUWRE5JIW5WTQ7DA}

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	2026-05-18T01:04:14.389084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

174b7750f1fab34b449d4a2ddb4e1f1815448eb0506ab29e40d8112e4e1bbc6d

Aliases

arxiv: 1509.07624 · arxiv_version: 1509.07624v3 · doi: 10.48550/arxiv.1509.07624 · pith_short_12: C5FXOUHR7KZU · pith_short_16: C5FXOUHR7KZUWRE5 · pith_short_8: C5FXOUHR

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/C5FXOUHR7KZUWRE5JIW5WTQ7DA \
  | 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: 174b7750f1fab34b449d4a2ddb4e1f1815448eb0506ab29e40d8112e4e1bbc6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64c4a9ca16d51ff3c9e34f08fb3809ba6293b8410b7da514a688f776f114ec97",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-09-25T08:20:46Z",
    "title_canon_sha256": "a8707a4a6e148100f0327a4342d0b71d990af6dc72c24291d7b389fb59a34054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07624",
    "kind": "arxiv",
    "version": 3
  }
}