Pith Number

pith:TBT6EAPP

pith:2026:TBT6EAPPCFSB62L3H7GKUG6QHG

not attested not anchored not stored refs pending

Spectrum analysis and optimal time decay rates of a kinetic-fluid-Poisson system

Hailiang Li, Junhao Chen, Mingying Zhong

arxiv:2608.02377 v1 · 2026-08-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBT6EAPPCFSB62L3H7GKUG6QHG}

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	2026-08-04T02:12:05.859597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9867e201ef11641f697b3fccaa1bd039816d6796e92b5c23821269e26539d847

Aliases

arxiv: 2608.02377 · arxiv_version: 2608.02377v1 · doi: 10.48550/arxiv.2608.02377 · pith_short_12: TBT6EAPPCFSB · pith_short_16: TBT6EAPPCFSB62L3 · pith_short_8: TBT6EAPP

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/TBT6EAPPCFSB62L3H7GKUG6QHG \
  | 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: 9867e201ef11641f697b3fccaa1bd039816d6796e92b5c23821269e26539d847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eded8ecafae632fa0e21636ae3f4775376edfe49555029944489c12aa48c29c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-03T15:21:32Z",
    "title_canon_sha256": "9f3578bb1c59e127fc92c2d26a372979b72a4f544df43d79d7921d015772c023"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02377",
    "kind": "arxiv",
    "version": 1
  }
}