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Pith Number

pith:3MLTPPGW

pith:2018:3MLTPPGWE3XTB6J6IREWJKBQZQ
not attested not anchored not stored refs pending

Stability of transonic jets with strong rarefaction waves for two-dimensional steady compressible Euler system

Hairong Yuan, Min Ding

arxiv:1801.04791 v1 · 2018-01-15 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3MLTPPGWE3XTB6J6IREWJKBQZQ}

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 2026-05-18T00:26:03.242516Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

db1737bcd626ef30f93e444964a830cc2f0cb9260924c5e41237136af3e3210a

Aliases

arxiv: 1801.04791 · arxiv_version: 1801.04791v1 · doi: 10.48550/arxiv.1801.04791 · pith_short_12: 3MLTPPGWE3XT · pith_short_16: 3MLTPPGWE3XTB6J6 · pith_short_8: 3MLTPPGW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3MLTPPGWE3XTB6J6IREWJKBQZQ \
  | 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: db1737bcd626ef30f93e444964a830cc2f0cb9260924c5e41237136af3e3210a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "116003a82b65f64347098bd8d4078e09bedc231580dfa859e47f0d4a2889e564",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-15T13:22:15Z",
    "title_canon_sha256": "41bc6eab54e32909600574532d09e68b0585fd2616d2808c2740c645a124943b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04791",
    "kind": "arxiv",
    "version": 1
  }
}