Pith Number

pith:YLFUBNZN

pith:2010:YLFUBNZN3MCLS4V5GDMTNZWWBD

not attested not anchored not stored refs pending

Blowup for the C^1 Solutions of the Euler-Poisson Equations of Gaseous Stars in R^N

Manwai Yuen

arxiv:1012.5364 v2 · 2010-12-24 · math-ph · astro-ph.GA · 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{YLFUBNZN3MCLS4V5GDMTNZWWBD}

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	2026-05-18T04:16:51.512847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2cb40b72ddb04b972bd30d936e6d608d0e7188800e19cef4e7b26b21d4a4fc7

Aliases

arxiv: 1012.5364 · arxiv_version: 1012.5364v2 · doi: 10.48550/arxiv.1012.5364 · pith_short_12: YLFUBNZN3MCL · pith_short_16: YLFUBNZN3MCLS4V5 · pith_short_8: YLFUBNZN

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/YLFUBNZN3MCLS4V5GDMTNZWWBD \
  | 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: c2cb40b72ddb04b972bd30d936e6d608d0e7188800e19cef4e7b26b21d4a4fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85383de57e8b57731cbb19c15ec74348f8f2af352568f0b2e3fec4da118562ae",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-24T08:37:08Z",
    "title_canon_sha256": "474822f2cc6903f88c5e053526ff947d91b920e68a66767f7814c65e9d395e63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5364",
    "kind": "arxiv",
    "version": 2
  }
}