Pith Number

pith:JXYJ7RTR

pith:2010:JXYJ7RTRFRWJLALPMUUN6ZBCQT

not attested not anchored not stored refs pending

Line Solutions for the Euler and Euler-Poisson Equations with Multiple Gamma Law

Ling Hei Yeung, Manwai Yuen

arxiv:1005.3651 v1 · 2010-05-20 · math-ph · astro-ph.SR · 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{JXYJ7RTRFRWJLALPMUUN6ZBCQT}

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	2026-05-18T03:37:27.760236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4df09fc6712c6c95816f6528df642284d5b10670c300ffc377a94a7c0a179e1c

Aliases

arxiv: 1005.3651 · arxiv_version: 1005.3651v1 · doi: 10.48550/arxiv.1005.3651 · pith_short_12: JXYJ7RTRFRWJ · pith_short_16: JXYJ7RTRFRWJLALP · pith_short_8: JXYJ7RTR

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/JXYJ7RTRFRWJLALPMUUN6ZBCQT \
  | 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: 4df09fc6712c6c95816f6528df642284d5b10670c300ffc377a94a7c0a179e1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f067694909fa96a0efad8fa70499dafbec19f551cd0c686c69d8f9e06204065f",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-20T10:07:22Z",
    "title_canon_sha256": "ecc0d7bc6f1b5dc2f4bb477a9bcf38a8605ca1440503f09506abec94dc367ffa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3651",
    "kind": "arxiv",
    "version": 1
  }
}