Pith Number

pith:LBQO57VF

pith:2013:LBQO57VFYN7DI25Z5IQ7PROFKI

not attested not anchored not stored refs pending

A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media

Adrianna Gillman, Alex Barnett, Per-Gunnar Martinsson

arxiv:1308.5998 v1 · 2013-08-27 · 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{LBQO57VFYN7DI25Z5IQ7PROFKI}

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	2026-05-18T03:14:49.366054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5860eefea5c37e346bb9ea21f7c5c552259cf561d0038652f8e332ea6c64ad12

Aliases

arxiv: 1308.5998 · arxiv_version: 1308.5998v1 · doi: 10.48550/arxiv.1308.5998 · pith_short_12: LBQO57VFYN7D · pith_short_16: LBQO57VFYN7DI25Z · pith_short_8: LBQO57VF

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/LBQO57VFYN7DI25Z5IQ7PROFKI \
  | 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: 5860eefea5c37e346bb9ea21f7c5c552259cf561d0038652f8e332ea6c64ad12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc064e49b04ef39b4a489c8f39fd08eb48778d4889d7a9fe493eb79db6bb7d8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-08-27T21:14:04Z",
    "title_canon_sha256": "0f4f517bec96cd4de7124ac9fc2db20cb73ea0e5f35e484d11779001b9c36e26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5998",
    "kind": "arxiv",
    "version": 1
  }
}