Pith Number

pith:3JYEXF7Z

pith:2025:3JYEXF7ZSHEK5KNEONR6IUY7XU

not attested not anchored not stored refs pending

A quasi-Monte Carlo multiscale method for the wave propagation in random media

Panchi Li, Zhiwen Zhang

arxiv:2507.16647 v1 · 2025-07-22 · 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{3JYEXF7ZSHEK5KNEONR6IUY7XU}

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.

Cited by

1 paper in Pith

A Bernoulli Phase-Fitted finite difference method with wavenumber-explicit analysis for the Helmholtz problem

Receipt and verification

First computed	2026-07-05T11:41:28.419505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da704b97f991c8aea9a47363e4531fbd13165b04a10f21d38d90a1004c2ae8a2

Aliases

arxiv: 2507.16647 · arxiv_version: 2507.16647v1 · doi: 10.48550/arxiv.2507.16647 · pith_short_12: 3JYEXF7ZSHEK · pith_short_16: 3JYEXF7ZSHEK5KNE · pith_short_8: 3JYEXF7Z

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/3JYEXF7ZSHEK5KNEONR6IUY7XU \
  | 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: da704b97f991c8aea9a47363e4531fbd13165b04a10f21d38d90a1004c2ae8a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2221436159e459be13ee9fc67d8f0b04ed41f38add3477a119cb8b340c310c1",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-22T14:44:55Z",
    "title_canon_sha256": "da76756e707137bd21825ec3de931c7d15a2c4185a3d0b6e33472fd16d7375ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16647",
    "kind": "arxiv",
    "version": 1
  }
}