Pith Number

pith:FR3DHO6C

pith:2015:FR3DHO6CB2A6P7WQTNFZ4WBEMW

not attested not anchored not stored refs pending

Transonic Flows with Shocks Past Curved Wedges for the Full Euler Equations

Gui-Qiang Chen, Jun Chen, Mikhail Feldman

arxiv:1505.04416 v4 · 2015-05-17 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FR3DHO6CB2A6P7WQTNFZ4WBEMW}

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	2026-05-18T00:53:45.599700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c7633bbc20e81e7fed09b4b9e582465bec941a147525bc2267e576f60289e44

Aliases

arxiv: 1505.04416 · arxiv_version: 1505.04416v4 · doi: 10.48550/arxiv.1505.04416 · pith_short_12: FR3DHO6CB2A6 · pith_short_16: FR3DHO6CB2A6P7WQ · pith_short_8: FR3DHO6C

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/FR3DHO6CB2A6P7WQTNFZ4WBEMW \
  | 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: 2c7633bbc20e81e7fed09b4b9e582465bec941a147525bc2267e576f60289e44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e87ccd212fb16c0761b700df26389121aaa3cc3bead9f4102046d453ba43f367",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-17T16:57:47Z",
    "title_canon_sha256": "4c00f8a2b97ef2e4e3eb014fe2720feaeb200701af5988bb768532013647cf78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04416",
    "kind": "arxiv",
    "version": 4
  }
}