Pith Number

pith:JFWG6L54

pith:2009:JFWG6L54TOTNPUPIF4KNXJNNC4

not attested not anchored not stored refs pending

Some Exact Blowup Solutions to the Pressureless Euler Equations in R^N

Manwai Yuen

arxiv:0910.1272 v1 · 2009-10-07 · astro-ph.SR · math-ph · 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{JFWG6L54TOTNPUPIF4KNXJNNC4}

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	2026-05-18T04:26:31.954575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

496c6f2fbc9ba6d7d1e82f14dba5ad172d06f64c2985de6569770aeb65764063

Aliases

arxiv: 0910.1272 · arxiv_version: 0910.1272v1 · doi: 10.48550/arxiv.0910.1272 · pith_short_12: JFWG6L54TOTN · pith_short_16: JFWG6L54TOTNPUPI · pith_short_8: JFWG6L54

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/JFWG6L54TOTNPUPIF4KNXJNNC4 \
  | 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: 496c6f2fbc9ba6d7d1e82f14dba5ad172d06f64c2985de6569770aeb65764063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17078a5549a61f339fc18f6aa2903abecb5158613ed54f576787c56f44d73b4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2009-10-07T14:23:09Z",
    "title_canon_sha256": "6dfe9c2896017c8a0f7d7b8cbf48d0aec324196e4a1966eaba752ec9b610bc61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1272",
    "kind": "arxiv",
    "version": 1
  }
}