Pith Number

pith:FZGS72QX

pith:2011:FZGS72QXAJU6TRT4HSIN2UDKL2

not attested not anchored not stored refs pending

Subsonic Flows in a Multi-Dimensional Nozzle

Lili Du, Wei Yan, Zhouping Xin

arxiv:1101.3685 v1 · 2011-01-19 · 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{FZGS72QXAJU6TRT4HSIN2UDKL2}

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	2026-05-18T02:03:26.398247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e4d2fea170269e9c67c3c90dd506a5e8b2677aad92add46e08f5f2c37926b2b

Aliases

arxiv: 1101.3685 · arxiv_version: 1101.3685v1 · doi: 10.48550/arxiv.1101.3685 · pith_short_12: FZGS72QXAJU6 · pith_short_16: FZGS72QXAJU6TRT4 · pith_short_8: FZGS72QX

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/FZGS72QXAJU6TRT4HSIN2UDKL2 \
  | 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: 2e4d2fea170269e9c67c3c90dd506a5e8b2677aad92add46e08f5f2c37926b2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cafb4370754b97c51faff2466a5e1729999136b4ce9489dbebac9f09d4b9469d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-19T13:43:43Z",
    "title_canon_sha256": "a6fe918999b7a65292bf51aec8b5af4f9e5913a77107969d0ae724cb55f82228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3685",
    "kind": "arxiv",
    "version": 1
  }
}