Pith Number

pith:GDCJQJFT

pith:2026:GDCJQJFT6WX4XGOA6I6OZSLH2P

not attested not anchored not stored refs pending

Global dynamics of viscous gaseous stars in a physical vacuum

Demin Wang, Jiawen Zhang, Shengguo Zhu

arxiv:2607.09189 v1 · 2026-07-10 · 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{GDCJQJFT6WX4XGOA6I6OZSLH2P}

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	2026-07-13T01:18:49.828176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c49824b3f5afcb99c0f23cecc967d3e95ab5f6321e7abfad411689801abaac

Aliases

arxiv: 2607.09189 · arxiv_version: 2607.09189v1 · doi: 10.48550/arxiv.2607.09189 · pith_short_12: GDCJQJFT6WX4 · pith_short_16: GDCJQJFT6WX4XGOA · pith_short_8: GDCJQJFT

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/GDCJQJFT6WX4XGOA6I6OZSLH2P \
  | 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: 30c49824b3f5afcb99c0f23cecc967d3e95ab5f6321e7abfad411689801abaac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8898e4fab52e318270ac9e5e1073f0099fcf0d8d281b9a6903b97dc46c982351",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-10T08:30:25Z",
    "title_canon_sha256": "df71b3d00b459579f9e64c7e26a0880b7a92eebfd4cf1a7e4f5a24ba4394207f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09189",
    "kind": "arxiv",
    "version": 1
  }
}