Pith Number

pith:EK3YJLYB

pith:2013:EK3YJLYBC6OVVWDDDIS27CMN32

not attested not anchored not stored refs pending

Wave-ray algorithms for Helmholtz equations with variable wave numbers: a one-dimensional implementation of two-dimensional ideas

Ira Livshits

arxiv:1312.2855 v1 · 2013-12-10 · 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{EK3YJLYBC6OVVWDDDIS27CMN32}

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	2026-05-18T03:05:08.253301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22b784af01179d5ad8631a25af898ddead4b42a000260eaf5db047b5204147f0

Aliases

arxiv: 1312.2855 · arxiv_version: 1312.2855v1 · doi: 10.48550/arxiv.1312.2855 · pith_short_12: EK3YJLYBC6OV · pith_short_16: EK3YJLYBC6OVVWDD · pith_short_8: EK3YJLYB

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/EK3YJLYBC6OVVWDDDIS27CMN32 \
  | 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: 22b784af01179d5ad8631a25af898ddead4b42a000260eaf5db047b5204147f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a740b3c9c6681c1737baa4234d9665842affec72b5f7fb6f38d2cadd78a74e69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-10T16:19:31Z",
    "title_canon_sha256": "f9a95d18af326cf5e5e8011e803180de817fc9615a86c19c5455b4907175c40e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2855",
    "kind": "arxiv",
    "version": 1
  }
}