Pith Number

pith:6WWHT4EC

pith:2013:6WWHT4ECRN52EBFX6TCG3UALWN

not attested not anchored not stored refs pending

Smooth Transonic Flows in De Laval Nozzles

Chunpeng Wang, Zhouping Xin

arxiv:1304.2473 v1 · 2013-04-09 · 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{6WWHT4ECRN52EBFX6TCG3UALWN}

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	2026-05-18T03:28:31.902198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5ac79f0828b7ba204b7f4c46dd00bb34339ceba33d20120bb9418e483c9cb58

Aliases

arxiv: 1304.2473 · arxiv_version: 1304.2473v1 · doi: 10.48550/arxiv.1304.2473 · pith_short_12: 6WWHT4ECRN52 · pith_short_16: 6WWHT4ECRN52EBFX · pith_short_8: 6WWHT4EC

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/6WWHT4ECRN52EBFX6TCG3UALWN \
  | 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: f5ac79f0828b7ba204b7f4c46dd00bb34339ceba33d20120bb9418e483c9cb58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5980c1a2c3e583cde4f34767d571ad521b64625519cada35619b5a9c88684bbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-09T07:20:07Z",
    "title_canon_sha256": "83e4139479e935256ff5219339fd6f1a148956480ae13a086c31abe0e3a47518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2473",
    "kind": "arxiv",
    "version": 1
  }
}