Pith Number

pith:KK2SS2V6

pith:2026:KK2SS2V632XR7BNLE5CVREYHIS

not attested not anchored not stored refs pending

A One-Dimensional Integral Equation for a Porous Horizontal Disc under Water Waves

Juliana Sartori Ziebell, Leandro Farina, Luiz Fernando de Moraes Campos Filho

arxiv:2607.21102 v1 · 2026-07-23 · physics.flu-dyn · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KK2SS2V632XR7BNLE5CVREYHIS}

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	2026-07-24T01:23:52.013864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52b5296abedeaf1f85ab2745589307449ee6c5fb7ed7a3a92093571cd0e10a61

Aliases

arxiv: 2607.21102 · arxiv_version: 2607.21102v1 · doi: 10.48550/arxiv.2607.21102 · pith_short_12: KK2SS2V632XR · pith_short_16: KK2SS2V632XR7BNL · pith_short_8: KK2SS2V6

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/KK2SS2V632XR7BNLE5CVREYHIS \
  | 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: 52b5296abedeaf1f85ab2745589307449ee6c5fb7ed7a3a92093571cd0e10a61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8c0c8533f5c82ba2ccf2d370bb759309e6c127bf1b9add573e45fad8341944b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-07-23T09:32:03Z",
    "title_canon_sha256": "52a082a5b0249ed7ee13ab7d9e202b4eceafb7f05782b0434fe9015b89aae731"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21102",
    "kind": "arxiv",
    "version": 1
  }
}