Pith Number

pith:3DY3F2WC

pith:2010:3DY3F2WCA3GQYCEPALWARC57M4

not attested not anchored not stored refs pending

Perturbational Blowup Solutions to the 1-dimensional Compressible Euler Equations

Manwai Yuen

arxiv:1012.2033 v1 · 2010-12-09 · 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{3DY3F2WCA3GQYCEPALWARC57M4}

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	2026-05-18T04:11:41.713579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f1b2eac206cd0c088f02ec088bbf6731c1dee239c2cff5f138897f061378d5

Aliases

arxiv: 1012.2033 · arxiv_version: 1012.2033v1 · doi: 10.48550/arxiv.1012.2033 · pith_short_12: 3DY3F2WCA3GQ · pith_short_16: 3DY3F2WCA3GQYCEP · pith_short_8: 3DY3F2WC

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/3DY3F2WCA3GQYCEPALWARC57M4 \
  | 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: d8f1b2eac206cd0c088f02ec088bbf6731c1dee239c2cff5f138897f061378d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfab1c55ac5d086b4993919e597286c90146b0085684fdd5d9cb701bc22f06b4",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-09T15:37:06Z",
    "title_canon_sha256": "b051a1f1515967cb9141113857a4503b4586e0f8bc450f6f309608c111512346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2033",
    "kind": "arxiv",
    "version": 1
  }
}