Pith Number

pith:JRY67KUR

pith:2018:JRY67KURH3SBPPF3LORVQGYBES

not attested not anchored not stored refs pending

Tensor calculus in spherical coordinates using Jacobi polynomials. Part-I: Mathematical analysis and derivations

Ben Brown, Daniel Lecoanet, Geoff Vasil, Jeff Oishi, Keaton Burns

arxiv:1804.10320 v1 · 2018-04-27 · math.NA · astro-ph.IM · math.CA · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRY67KURH3SBPPF3LORVQGYBES}

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	2026-05-18T00:17:21.122097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c71efaa913ee417bcbb5ba3581b01248e87ff5c43c5ea6a2a046118aa86ee57

Aliases

arxiv: 1804.10320 · arxiv_version: 1804.10320v1 · doi: 10.48550/arxiv.1804.10320 · pith_short_12: JRY67KURH3SB · pith_short_16: JRY67KURH3SBPPF3 · pith_short_8: JRY67KUR

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/JRY67KURH3SBPPF3LORVQGYBES \
  | 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: 4c71efaa913ee417bcbb5ba3581b01248e87ff5c43c5ea6a2a046118aa86ee57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26b55d76e67dd01ee07326bc9ba7376da90fc5f7121d51d09c9a3788df80e5ae",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "math.CA",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-04-27T01:53:51Z",
    "title_canon_sha256": "ea80b1340bf020299acf9cde92d23d9c3c4dfe70005e127fb29ca4670f1b539e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10320",
    "kind": "arxiv",
    "version": 1
  }
}