Pith Number

pith:SBVKEJ3K

pith:2026:SBVKEJ3K643OWXPDFU36XXBLAX

not attested not anchored not stored refs pending

On classification of dynamics for dust fluid under spherical symmetry in Schwarzschild spacetime

Changhua Wei, Shuang Miao, Yifan Liu

arxiv:2606.28375 v1 · 2026-06-19 · 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{SBVKEJ3K643OWXPDFU36XXBLAX}

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	2026-06-30T00:15:12.346101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

906aa2276af736eb5de32d37ebdc2b05fef089be8acf0c270a1e0345fe2a9d4c

Aliases

arxiv: 2606.28375 · arxiv_version: 2606.28375v1 · doi: 10.48550/arxiv.2606.28375 · pith_short_12: SBVKEJ3K643O · pith_short_16: SBVKEJ3K643OWXPD · pith_short_8: SBVKEJ3K

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/SBVKEJ3K643OWXPDFU36XXBLAX \
  | 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: 906aa2276af736eb5de32d37ebdc2b05fef089be8acf0c270a1e0345fe2a9d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f2d1d4602926cbf60116b7aacf39c41c59f0ef77635a94266dfaa8d0452a56",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-19T02:10:19Z",
    "title_canon_sha256": "4c5b9809ca55696dbacfa660a7c8744219d30ae3b8b096efccc8e99f28eb1953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28375",
    "kind": "arxiv",
    "version": 1
  }
}