Pith Number

pith:WWFGEKT4

pith:2025:WWFGEKT4PTOFN6K43IZBZW7QVA

not attested not anchored not stored refs pending

Normalized Fourier-induced PINN method for solving the wave propagation equation in a non-unitized domain over an extended time range

Dandan Liu, Jichao Ma, Jinran Wu, Xi'an Li

arxiv:2503.05716 v1 · 2025-02-16 · 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{WWFGEKT4PTOFN6K43IZBZW7QVA}

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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	2026-07-05T10:26:45.157469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58a622a7c7cdc56f95cda321cdbf0a83deef62b46a251df4b2bc6c6803a7725

Aliases

arxiv: 2503.05716 · arxiv_version: 2503.05716v1 · doi: 10.48550/arxiv.2503.05716 · pith_short_12: WWFGEKT4PTOF · pith_short_16: WWFGEKT4PTOFN6K4 · pith_short_8: WWFGEKT4

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/WWFGEKT4PTOFN6K43IZBZW7QVA \
  | 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: b58a622a7c7cdc56f95cda321cdbf0a83deef62b46a251df4b2bc6c6803a7725

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cecceb86e573fd7d1c13df2f96ee242f27b52ea35e2c6bdde8def35c40b1263",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-02-16T14:03:21Z",
    "title_canon_sha256": "c47909c64e3fe9bda5d0c30601fe511566d115680116666d60d2ef3df4fd1c41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.05716",
    "kind": "arxiv",
    "version": 1
  }
}