Pith Number

pith:HR4GE2LE

pith:2016:HR4GE2LEOYYNTSGMYWNPK3GQWU

not attested not anchored not stored refs pending

Stability of Transonic Shocks in Steady Supersonic Flow past Multidimensional Wedges

Beixiang Fang, Gui-Qiang Chen

arxiv:1603.03169 v3 · 2016-03-10 · 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{HR4GE2LEOYYNTSGMYWNPK3GQWU}

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	2026-05-18T00:44:09.759548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c786269647630d9c8ccc59af56cd0b502ec35127beaa4f56d84c252f76d060b

Aliases

arxiv: 1603.03169 · arxiv_version: 1603.03169v3 · doi: 10.48550/arxiv.1603.03169 · pith_short_12: HR4GE2LEOYYN · pith_short_16: HR4GE2LEOYYNTSGM · pith_short_8: HR4GE2LE

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/HR4GE2LEOYYNTSGMYWNPK3GQWU \
  | 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: 3c786269647630d9c8ccc59af56cd0b502ec35127beaa4f56d84c252f76d060b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a4eb6083d4678fd98735a06d3d5fe07f6fb83cd145715cfdd186a4040068fda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-10T07:42:54Z",
    "title_canon_sha256": "c5e4511ba33eb076b8c28881a4ce90eeab7145d10891b29e1cebba08c7d98cdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03169",
    "kind": "arxiv",
    "version": 3
  }
}