Pith Number

pith:3ZQKTZZ2

pith:2017:3ZQKTZZ2X7IDF4CGJKWYNAAYUU

not attested not anchored not stored refs pending

Two-dimensional steady supersonic exothermically reacting Euler flows with strong contact discontinuity over Lipschitz wall

Qin Zhao, Wei Xiang, Yongqian Zhang

arxiv:1709.03263 v1 · 2017-09-11 · 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{3ZQKTZZ2X7IDF4CGJKWYNAAYUU}

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	2026-05-18T00:35:38.884282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de60a9e73abfd032f0464aad868018a51c0e803f759055200b69d16cb4257382

Aliases

arxiv: 1709.03263 · arxiv_version: 1709.03263v1 · doi: 10.48550/arxiv.1709.03263 · pith_short_12: 3ZQKTZZ2X7ID · pith_short_16: 3ZQKTZZ2X7IDF4CG · pith_short_8: 3ZQKTZZ2

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/3ZQKTZZ2X7IDF4CGJKWYNAAYUU \
  | 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: de60a9e73abfd032f0464aad868018a51c0e803f759055200b69d16cb4257382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a705969142a601fbe24c77df64e59e7bd909cdf9d951e679ed8548e8a7561d43",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-11T07:01:23Z",
    "title_canon_sha256": "7984d943901fe835f711b1995eb433bcddbcbe42b5f8fd12fd5c20e91843def6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03263",
    "kind": "arxiv",
    "version": 1
  }
}