Pith Number

pith:6UWIJM6V

pith:2018:6UWIJM6VMSEOUKPN3ZOG46X3WC

not attested not anchored not stored refs pending

Stabilization effect of frictions for transonic shocks in steady compressible Euler flows passing three-dimensional ducts

Hairong Yuan, Qin Zhao

arxiv:1803.11071 v2 · 2018-03-28 · 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{6UWIJM6VMSEOUKPN3ZOG46X3WC}

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	2026-05-18T00:00:21.637117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f52c84b3d56488ea29edde5c6e7afbb0b6ff44bf919a010ed759107cace49712

Aliases

arxiv: 1803.11071 · arxiv_version: 1803.11071v2 · doi: 10.48550/arxiv.1803.11071 · pith_short_12: 6UWIJM6VMSEO · pith_short_16: 6UWIJM6VMSEOUKPN · pith_short_8: 6UWIJM6V

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/6UWIJM6VMSEOUKPN3ZOG46X3WC \
  | 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: f52c84b3d56488ea29edde5c6e7afbb0b6ff44bf919a010ed759107cace49712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bdad3e4e802f1b0e11e8d7d350e3129c38b099b0d02fbb454af93c7f70ba266",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-28T09:54:51Z",
    "title_canon_sha256": "a765274bd1e7cca626bfe44517e1a227083088bb6323918b4919cb1e1d55e4b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11071",
    "kind": "arxiv",
    "version": 2
  }
}