Pith Number

pith:ILN7Q4VQ

pith:2011:ILN7Q4VQ3DPY5632T5EIVSQ22T

not attested not anchored not stored refs pending

Prandtl-Meyer Reflection for Supersonic Flow past a Solid Ramp

Gui-Qiang Chen, Mikhail Feldman, Myoungjean Bae

arxiv:1201.0294 v1 · 2011-12-31 · 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{ILN7Q4VQ3DPY5632T5EIVSQ22T}

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	2026-05-18T04:05:25.524646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42dbf872b0d8df8efb7a9f488aca1ad4f44b517f131f53a8116f96c5d476b842

Aliases

arxiv: 1201.0294 · arxiv_version: 1201.0294v1 · doi: 10.48550/arxiv.1201.0294 · pith_short_12: ILN7Q4VQ3DPY · pith_short_16: ILN7Q4VQ3DPY5632 · pith_short_8: ILN7Q4VQ

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/ILN7Q4VQ3DPY5632T5EIVSQ22T \
  | 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: 42dbf872b0d8df8efb7a9f488aca1ad4f44b517f131f53a8116f96c5d476b842

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22cdb9907b281721173abf673c01dc14f9b722a75af40b6981358ff553b954a4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-31T17:43:47Z",
    "title_canon_sha256": "8eb48c9e0c1a90f3dcb87ffd149103677be9495e260be0213795d49c76ec5d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0294",
    "kind": "arxiv",
    "version": 1
  }
}