Pith Number

pith:E62ZBHCF

pith:2022:E62ZBHCFDFTEJD4PADPR5P45EG

not attested not anchored not stored refs pending

Finding the Shape of Lacunae of the Wave Equation Using Artificial Neural Networks

Alina Chertock, Christopher Leonard, Semyon Tsynkov

arxiv:2202.05768 v1 · 2022-02-11 · math.NA · cs.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{E62ZBHCFDFTEJD4PADPR5P45EG}

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	2026-07-05T03:56:12.338006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27b5909c451966448f8f00df1ebf9d218c0343119be30ef711f3f5007be7b297

Aliases

arxiv: 2202.05768 · arxiv_version: 2202.05768v1 · doi: 10.48550/arxiv.2202.05768 · pith_short_12: E62ZBHCFDFTE · pith_short_16: E62ZBHCFDFTEJD4P · pith_short_8: E62ZBHCF

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/E62ZBHCFDFTEJD4PADPR5P45EG \
  | 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: 27b5909c451966448f8f00df1ebf9d218c0343119be30ef711f3f5007be7b297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31edf2c71e531b4b099ae35a1dfa28d8fccbd9b5d15c0c20f74ddbe57a274895",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-02-11T17:03:25Z",
    "title_canon_sha256": "c16403ba559b9fb0bf8d59d6ef97929c202f83563070470d7eebaeff61f0c7ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.05768",
    "kind": "arxiv",
    "version": 1
  }
}