Pith Number

pith:S2OO3VHB

pith:2017:S2OO3VHB5EKR4NEKGZFJAGA3SF

not attested not anchored not stored refs pending

Subsonic flows passing a duct for three-dimensional steady compressible Euler system with friction

Hairong Yuan, Qin Zhao

arxiv:1711.11431 v2 · 2017-11-28 · 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{S2OO3VHB5EKR4NEKGZFJAGA3SF}

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	2026-05-18T00:01:49.093590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

969cedd4e1e9151e348a364a90181b91549630b1403291d377dd5ecd410e6d23

Aliases

arxiv: 1711.11431 · arxiv_version: 1711.11431v2 · doi: 10.48550/arxiv.1711.11431 · pith_short_12: S2OO3VHB5EKR · pith_short_16: S2OO3VHB5EKR4NEK · pith_short_8: S2OO3VHB

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/S2OO3VHB5EKR4NEKGZFJAGA3SF \
  | 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: 969cedd4e1e9151e348a364a90181b91549630b1403291d377dd5ecd410e6d23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7083801d901b90dc0b50f46bffb5b1bb7d1884d073e417b17d407f075594d538",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-28T23:57:12Z",
    "title_canon_sha256": "554b762c7e75854d03ecb0dbb97496f19b2f2351f2c247ac4c8231fd2cb75b21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11431",
    "kind": "arxiv",
    "version": 2
  }
}