Pith Number

pith:VBXMQ5WU

pith:2012:VBXMQ5WUNX5ZJ4TDDYQN3LSWOO

not attested not anchored not stored refs pending

A Model for (Non-Lognormal) Density Distributions in Isothermal Turbulence

Philip F. Hopkins (Caltech/Berkeley)

arxiv:1211.3119 v2 · 2012-11-13 · astro-ph.GA · astro-ph.CO · astro-ph.EP · 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{VBXMQ5WUNX5ZJ4TDDYQN3LSWOO}

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	2026-05-18T03:19:35.111858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86ec876d46dfb94f2631e20ddae5673bd793d2e962065849bcf058bedc933da

Aliases

arxiv: 1211.3119 · arxiv_version: 1211.3119v2 · doi: 10.48550/arxiv.1211.3119 · pith_short_12: VBXMQ5WUNX5Z · pith_short_16: VBXMQ5WUNX5ZJ4TD · pith_short_8: VBXMQ5WU

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/VBXMQ5WUNX5ZJ4TDDYQN3LSWOO \
  | 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: a86ec876d46dfb94f2631e20ddae5673bd793d2e962065849bcf058bedc933da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f50b4f9607461ec9e7a39cf6c7327a93e42963cdd6e75548ff2c8394df02a68a",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.EP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2012-11-13T21:00:02Z",
    "title_canon_sha256": "50a15b806e70c929fe8110570b299c98e6f57b13337dd161a6e943a6a1e3bef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3119",
    "kind": "arxiv",
    "version": 2
  }
}