Pith Number

pith:VMBVBJKA

pith:2010:VMBVBJKAI2KGIOWK655EJ2FN44

not attested not anchored not stored refs pending

Summation by parts methods for the spherical harmonic decomposition of the wave equation in arbitrary dimensions

Carsten Gundlach, David Garfinkle, Jose M. Martin-Garcia

arxiv:1010.2427 v2 · 2010-10-12 · math.NA · cs.NA · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMBVBJKAI2KGIOWK655EJ2FN44}

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	2026-06-03T23:06:42.450388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab0350a5404694643acaf77a44e8ade715efa28427da1f9bf3e966d831e58238

Aliases

arxiv: 1010.2427 · arxiv_version: 1010.2427v2 · doi: 10.48550/arxiv.1010.2427 · pith_short_12: VMBVBJKAI2KG · pith_short_16: VMBVBJKAI2KGIOWK · pith_short_8: VMBVBJKA

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/VMBVBJKAI2KGIOWK655EJ2FN44 \
  | 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: ab0350a5404694643acaf77a44e8ade715efa28427da1f9bf3e966d831e58238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7768da159bf1572522a7ae93cbac9f99de8928d4dc100434fa55c14be7832db4",
    "cross_cats_sorted": [
      "cs.NA",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-10-12T15:41:50Z",
    "title_canon_sha256": "928d54d83bcbf03c73c4dea2e8071f84c5baa92ecbd12be23bb6e4310ca2ee9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2427",
    "kind": "arxiv",
    "version": 2
  }
}