Pith Number

pith:X4Z646QV

pith:2016:X4Z646QVUU75X7TMWO2U6CPIGJ

not attested not anchored not stored refs pending

A Multilevel Sampling Method for Detecting Sources in a Stratified Ocean Waveguide

Jun Zou, Keji Liu, Yongzhi Xu

arxiv:1602.04939 v1 · 2016-02-16 · 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{X4Z646QVUU75X7TMWO2U6CPIGJ}

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	2026-05-18T01:20:37.817072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf33ee7a15a53fdbfe6cb3b54f09e8324a4f1d8fe574f13592fa2524ac8edb40

Aliases

arxiv: 1602.04939 · arxiv_version: 1602.04939v1 · doi: 10.48550/arxiv.1602.04939 · pith_short_12: X4Z646QVUU75 · pith_short_16: X4Z646QVUU75X7TM · pith_short_8: X4Z646QV

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/X4Z646QVUU75X7TMWO2U6CPIGJ \
  | 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: bf33ee7a15a53fdbfe6cb3b54f09e8324a4f1d8fe574f13592fa2524ac8edb40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d26b5e2f43282347b8323a75351757dd4151deef83dba246672e9ad73970caef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-02-16T08:20:56Z",
    "title_canon_sha256": "45cbf37d09dba79f606331332f2e96d9cf72b222290488c92a2685dd0d907e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04939",
    "kind": "arxiv",
    "version": 1
  }
}