Pith Number

pith:XCRYW36Q

pith:2010:XCRYW36QBRMMKBXSHDHHGVHUNP

not attested not anchored not stored refs pending

Blowup for the Euler and Euler-Poisson Equations with Repulsive Forces II

Manwai Yuen

arxiv:1012.5143 v1 · 2010-12-23 · 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{XCRYW36QBRMMKBXSHDHHGVHUNP}

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	2026-05-18T04:32:35.715548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8a38b6fd00c58c506f238ce7354f46bf14f4794dec9d1a2c502450fbe0497d2

Aliases

arxiv: 1012.5143 · arxiv_version: 1012.5143v1 · doi: 10.48550/arxiv.1012.5143 · pith_short_12: XCRYW36QBRMM · pith_short_16: XCRYW36QBRMMKBXS · pith_short_8: XCRYW36Q

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/XCRYW36QBRMMKBXSHDHHGVHUNP \
  | 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: b8a38b6fd00c58c506f238ce7354f46bf14f4794dec9d1a2c502450fbe0497d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6e56c1dfb3831d70214ff4f857f0a8f7294da2cb32e715554c89d49b9b2721f",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-23T04:47:22Z",
    "title_canon_sha256": "0b6c47503de651ade6d192c4151bbde6789308a73f34e267e171c2d5e5138bd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5143",
    "kind": "arxiv",
    "version": 1
  }
}