Pith Number

pith:5UP6KDCN

pith:2016:5UP6KDCNIP2KOANU7UND4D7W5V

not attested not anchored not stored refs pending

Learning Dominant Wave Directions For Plane Wave Methods For High-Frequency Helmholtz Equations

Hongkai Zhao, Jianliang Qian, Jun Fang, Leonardo Zepeda-N\'u\~nez

arxiv:1608.08871 v1 · 2016-08-31 · 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{5UP6KDCNIP2KOANU7UND4D7W5V}

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	2026-05-18T01:06:39.723286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed1fe50c4d43f4a701b4fd1a3e0ff6ed59312179ebac0434f827f2a914e118a8

Aliases

arxiv: 1608.08871 · arxiv_version: 1608.08871v1 · doi: 10.48550/arxiv.1608.08871 · pith_short_12: 5UP6KDCNIP2K · pith_short_16: 5UP6KDCNIP2KOANU · pith_short_8: 5UP6KDCN

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/5UP6KDCNIP2KOANU7UND4D7W5V \
  | 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: ed1fe50c4d43f4a701b4fd1a3e0ff6ed59312179ebac0434f827f2a914e118a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f4c74040c5cec8e02bfdffd39c08d48b51a742ff04f776974a967e2759b24b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-31T14:13:18Z",
    "title_canon_sha256": "59a732e13ae980fd58fd4c9fb44e475b1d469942ec14c4a669903f4706f5e80b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08871",
    "kind": "arxiv",
    "version": 1
  }
}