Pith Number

pith:KTJWHTYL

pith:2019:KTJWHTYL6SHF3CKL7RKUWWTYQC

not attested not anchored not stored refs pending

On Admissible Locations of Transonic Shock Fronts for Steady Euler Flows in an Almost Flat Finite Nozzle with Prescribed Receiver Pressure

Beixiang Fang, Zhouping Xin

arxiv:1908.02463 v1 · 2019-08-07 · 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{KTJWHTYL6SHF3CKL7RKUWWTYQC}

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	2026-07-04T23:52:09.181779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54d363cf0bf48e5d894bfc554b5a7880b5abef1f4e97b083b61840c2b46b5b3c

Aliases

arxiv: 1908.02463 · arxiv_version: 1908.02463v1 · doi: 10.48550/arxiv.1908.02463 · pith_short_12: KTJWHTYL6SHF · pith_short_16: KTJWHTYL6SHF3CKL · pith_short_8: KTJWHTYL

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/KTJWHTYL6SHF3CKL7RKUWWTYQC \
  | 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: 54d363cf0bf48e5d894bfc554b5a7880b5abef1f4e97b083b61840c2b46b5b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc149d7918c3a233f6c4b7cc664d24223eafa493769777e5e04c02a42de29f6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-07T07:17:08Z",
    "title_canon_sha256": "733f39ef2f1b0db4e35d65db74455b342b3a06c8612867243f645a97f9e31dba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02463",
    "kind": "arxiv",
    "version": 1
  }
}