Pith Number

pith:IKSZ2MLK

pith:2018:IKSZ2MLKBCYJBYNDVCZJV7YZ3V

not attested not anchored not stored refs pending

Tensor calculus in spherical coordinates using Jacobi polynomials, Part-II: Implementation and Examples

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

arxiv:1804.09283 v1 · 2018-04-24 · astro-ph.IM · physics.flu-dyn · physics.geo-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKSZ2MLKBCYJBYNDVCZJV7YZ3V}

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	2026-05-18T00:17:32.284310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42a59d316a08b090e1a3a8b29aff19dd51a65cef9155bdb1a1f5f0378c88ddbb

Aliases

arxiv: 1804.09283 · arxiv_version: 1804.09283v1 · doi: 10.48550/arxiv.1804.09283 · pith_short_12: IKSZ2MLKBCYJ · pith_short_16: IKSZ2MLKBCYJBYND · pith_short_8: IKSZ2MLK

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/IKSZ2MLKBCYJBYNDVCZJV7YZ3V \
  | 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: 42a59d316a08b090e1a3a8b29aff19dd51a65cef9155bdb1a1f5f0378c88ddbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc42aae03432f8e4574ab959dda70e069fc55b501b412003af19deb9fe570eb5",
    "cross_cats_sorted": [
      "physics.flu-dyn",
      "physics.geo-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2018-04-24T22:38:47Z",
    "title_canon_sha256": "a58c18a7dc4f93900b9e04e563fdce5f1aac646145806f06a90f3f010b947a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09283",
    "kind": "arxiv",
    "version": 1
  }
}