Pith Number

pith:CSPKVOTS

pith:2025:CSPKVOTSWBT5URK7WHZW5GA6MD

not attested not anchored not stored refs pending

GENERIC formulation and small-angle limit for Kinetic wave equations

Manh Hong Duong, Zihui He

arxiv:2508.13871 v1 · 2025-08-19 · math.AP · 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{CSPKVOTSWBT5URK7WHZW5GA6MD}

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	2026-07-05T11:56:08.907395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

149eaaba72b067da455fb1f36e981e60fb72a680936b5f11b139863d499a0931

Aliases

arxiv: 2508.13871 · arxiv_version: 2508.13871v1 · doi: 10.48550/arxiv.2508.13871 · pith_short_12: CSPKVOTSWBT5 · pith_short_16: CSPKVOTSWBT5URK7 · pith_short_8: CSPKVOTS

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/CSPKVOTSWBT5URK7WHZW5GA6MD \
  | 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: 149eaaba72b067da455fb1f36e981e60fb72a680936b5f11b139863d499a0931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea2ff793babb6363b357ec0fa24cd27f712746fdaa9fdfd090b1aafbdb4fd6f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-19T14:36:50Z",
    "title_canon_sha256": "77a08480e0e69bb88f274071d43dc00e43644eab058d502836c51d4ee23c35d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.13871",
    "kind": "arxiv",
    "version": 1
  }
}