Pith Number

pith:XGFM3PYP

pith:2015:XGFM3PYPWHA7DF2WQV5X672WYP

not attested not anchored not stored refs pending

Blow-up Phenomena for Compressible Euler Equations with Non-vacuum Initial Data

Manwai Yuen, Sen Wong

arxiv:1510.05095 v1 · 2015-10-17 · math.AP · 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{XGFM3PYPWHA7DF2WQV5X672WYP}

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	2026-05-18T01:29:53.184499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b98acdbf0fb1c1f19756857b7f7f56c3caebd6b25f36d034035bbde60474aa90

Aliases

arxiv: 1510.05095 · arxiv_version: 1510.05095v1 · doi: 10.48550/arxiv.1510.05095 · pith_short_12: XGFM3PYPWHA7 · pith_short_16: XGFM3PYPWHA7DF2W · pith_short_8: XGFM3PYP

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/XGFM3PYPWHA7DF2WQV5X672WYP \
  | 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: b98acdbf0fb1c1f19756857b7f7f56c3caebd6b25f36d034035bbde60474aa90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9660ec6851573e5f9924bd49f88969d996bb212eedfb199c5bbc27786406b754",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-17T08:15:10Z",
    "title_canon_sha256": "3edbeab063ea546f5ac0c68c33c54e218c8d86d425642d6196e4056314f6626f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05095",
    "kind": "arxiv",
    "version": 1
  }
}