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Pith Number

pith:7BAIKCSA

pith:2010:7BAIKCSA3C543QOH3OWPLXVA6F
not attested not anchored not stored refs pending

Stability of Transonic Shock Solutions for One-Dimensional Euler-Poisson Equations

Chunjing Xie, Jeffrey Rauch, Tao Luo, Zhouping Xin

arxiv:1008.0378 v1 · 2010-08-02 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7BAIKCSA3C543QOH3OWPLXVA6F}

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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 2026-05-18T02:06:00.234543Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f840850a40d8bbcdc1c7dbacf5dea0f145144b57c4f32c3903e6e2cdcbcd3a12

Aliases

arxiv: 1008.0378 · arxiv_version: 1008.0378v1 · doi: 10.48550/arxiv.1008.0378 · pith_short_12: 7BAIKCSA3C54 · pith_short_16: 7BAIKCSA3C543QOH · pith_short_8: 7BAIKCSA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7BAIKCSA3C543QOH3OWPLXVA6F \
  | 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: f840850a40d8bbcdc1c7dbacf5dea0f145144b57c4f32c3903e6e2cdcbcd3a12
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0686fea4f26eaddb9a77a85a71220e9a760ab41e57f1b3499cda51fe0ff9fd52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-02T19:07:35Z",
    "title_canon_sha256": "5d6ca4ccb5be5c07b6b17b7c7694b4d746994d2326c080ef0aa4ba580a1f24cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0378",
    "kind": "arxiv",
    "version": 1
  }
}