Pith Number

pith:52VTO7JF

pith:2026:52VTO7JFMNICXJP3KVVY6Z3QLI

not attested not anchored not stored refs pending

On a Local Existence Theorem for the Evolution Equation of Viscous Gaseous Stars in a Physical Vacuum

Demin Wang, Jiawen Zhang, Shengguo Zhu

arxiv:2606.22822 v1 · 2026-06-22 · 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{52VTO7JFMNICXJP3KVVY6Z3QLI}

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	2026-06-23T02:14:00.390272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeab377d2563502ba5fb556b8f67705a13e92e6fb0c276f2caf270e1d0cc56a8

Aliases

arxiv: 2606.22822 · arxiv_version: 2606.22822v1 · doi: 10.48550/arxiv.2606.22822 · pith_short_12: 52VTO7JFMNIC · pith_short_16: 52VTO7JFMNICXJP3 · pith_short_8: 52VTO7JF

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/52VTO7JFMNICXJP3KVVY6Z3QLI \
  | 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: eeab377d2563502ba5fb556b8f67705a13e92e6fb0c276f2caf270e1d0cc56a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94078a3998887389dcf5d68d03b30361a6339b40a56a231422465beb796aa6fc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-22T03:55:42Z",
    "title_canon_sha256": "7b393193ee9518a248425d110c59610fc72d95ca21fdf271b962819174f1ad40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22822",
    "kind": "arxiv",
    "version": 1
  }
}