Pith Number

pith:ZI4BFXT7

pith:2008:ZI4BFXT7RB5CGGC5TDTWAWSEPR

not attested not anchored not stored refs pending

Transonic Potential Flows in A Convergent--Divergent Approximate Nozzle

Hairong Yuan, Yue He

arxiv:0802.2324 v1 · 2008-02-16 · 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{ZI4BFXT7RB5CGGC5TDTWAWSEPR}

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	2026-05-18T04:28:28.488979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca3812de7f887a23185d98e7605a447c726298746faac32da0f778974efb1856

Aliases

arxiv: 0802.2324 · arxiv_version: 0802.2324v1 · doi: 10.48550/arxiv.0802.2324 · pith_short_12: ZI4BFXT7RB5C · pith_short_16: ZI4BFXT7RB5CGGC5 · pith_short_8: ZI4BFXT7

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/ZI4BFXT7RB5CGGC5TDTWAWSEPR \
  | 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: ca3812de7f887a23185d98e7605a447c726298746faac32da0f778974efb1856

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "497ce5f7fdb4a5dcb91f5daa3c183656f8e066068e2768d32e3cbdaada7e8a49",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-02-16T09:34:36Z",
    "title_canon_sha256": "4f6c3998fc73a2f5062e9e7875b8bcdaad7d741ecb8b496c837e4b7dd2d6602f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2324",
    "kind": "arxiv",
    "version": 1
  }
}