Pith Number

pith:NDOKOVQP

pith:2018:NDOKOVQPKKPHLFUBUIVM7BD3EA

not attested not anchored not stored refs pending

Detailed Balance and Exact Results for Density Fluctuations in Supersonic Turbulence

{\AA}ke Nordlund, Liubin Pan, Paolo Padoan

arxiv:1808.08302 v2 · 2018-08-24 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDOKOVQPKKPHLFUBUIVM7BD3EA}

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	2026-05-18T00:02:31.020856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68dca7560f529e759681a22acf847b202f74b4e5e7a0455e88dcc164c01c287d

Aliases

arxiv: 1808.08302 · arxiv_version: 1808.08302v2 · doi: 10.48550/arxiv.1808.08302 · pith_short_12: NDOKOVQPKKPH · pith_short_16: NDOKOVQPKKPHLFUB · pith_short_8: NDOKOVQP

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/NDOKOVQPKKPHLFUBUIVM7BD3EA \
  | 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: 68dca7560f529e759681a22acf847b202f74b4e5e7a0455e88dcc164c01c287d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0efa69ac08bea6fbe1c0a8d87f6ab3074ca56033cf8f047727b83794be70925",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2018-08-24T20:36:09Z",
    "title_canon_sha256": "270bca3f655c4c0363ce3c5e6022054fe2852e36cbc3668eb9c50966f2cf441a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08302",
    "kind": "arxiv",
    "version": 2
  }
}