Pith Number

pith:JHKCAX6Q

pith:2015:JHKCAX6QXT34N7VFNUZKUBK4BW

not attested not anchored not stored refs pending

Mode mixing in sub- and trans-critical flows over an obstacle: When should Hawking's predictions be recovered?

Florent Michel, Renaud Parentani

arxiv:1508.02044 v1 · 2015-08-09 · gr-qc · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JHKCAX6QXT34N7VFNUZKUBK4BW}

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.

Cited by

1 paper in Pith

Hawking radiation with dispersion: reconciling the Bogoliubov and tunneling approaches

Receipt and verification

First computed	2026-05-18T01:35:34.407012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49d4205fd0bcf7c6fea56d32aa055c0db31b1c64e9f42978102ae340aa6c367a

Aliases

arxiv: 1508.02044 · arxiv_version: 1508.02044v1 · doi: 10.48550/arxiv.1508.02044 · pith_short_12: JHKCAX6QXT34 · pith_short_16: JHKCAX6QXT34N7VF · pith_short_8: JHKCAX6Q

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/JHKCAX6QXT34N7VFNUZKUBK4BW \
  | 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: 49d4205fd0bcf7c6fea56d32aa055c0db31b1c64e9f42978102ae340aa6c367a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "943712219f9173008ed7282ebbb93d4aec7b8dcda302beef982863b6354a6e56",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-08-09T15:57:07Z",
    "title_canon_sha256": "682f9133cbdba8697ecbebd58e25933d6248ace6fb0877e17dd99890e402b713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02044",
    "kind": "arxiv",
    "version": 1
  }
}