Pith Number

pith:WVYE4Z3H

pith:2009:WVYE4Z3H4O3GTIS24S6A6BKDM5

not attested not anchored not stored refs pending

Analytical Blowup Solutions to the 2-dimensional Isothermal Euler-Poisson Equations of Gaseous Stars II

Manwai Yuen

arxiv:0906.0176 v2 · 2009-05-31 · astro-ph.SR · math-ph · math.AP · 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{WVYE4Z3H4O3GTIS24S6A6BKDM5}

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	2026-05-18T04:16:51.934303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5704e6767e3b669a25ae4bc0f054367438c5680c3ca1dbc2603dc8e4ecec79c

Aliases

arxiv: 0906.0176 · arxiv_version: 0906.0176v2 · doi: 10.48550/arxiv.0906.0176 · pith_short_12: WVYE4Z3H4O3G · pith_short_16: WVYE4Z3H4O3GTIS2 · pith_short_8: WVYE4Z3H

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/WVYE4Z3H4O3GTIS24S6A6BKDM5 \
  | 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: b5704e6767e3b669a25ae4bc0f054367438c5680c3ca1dbc2603dc8e4ecec79c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24a8082911cfa18cafab5b5d958747f11fb8de7f2c2b9fb3c3c23a01523f1a89",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2009-05-31T18:07:51Z",
    "title_canon_sha256": "1a99db34927488ab0acc13f5461c74790943a0fd55770037e9d27f182c2a5848"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0176",
    "kind": "arxiv",
    "version": 2
  }
}