Pith Number

pith:66IPZ67F

pith:2013:66IPZ67FIQSI4NK3ELDUL4CBEK

not attested not anchored not stored refs pending

A Simple Phenomenological Model for Grain Clustering in Turbulence

Philip F. Hopkins (Caltech)

arxiv:1307.7147 v2 · 2013-07-26 · astro-ph.EP · astro-ph.GA · physics.ao-ph · 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{66IPZ67FIQSI4NK3ELDUL4CBEK}

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	2026-05-18T01:23:59.078787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f790fcfbe544248e355b22c745f04122a728010c9c2b65f170181d22f6be8e10

Aliases

arxiv: 1307.7147 · arxiv_version: 1307.7147v2 · doi: 10.48550/arxiv.1307.7147 · pith_short_12: 66IPZ67FIQSI · pith_short_16: 66IPZ67FIQSI4NK3 · pith_short_8: 66IPZ67F

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/66IPZ67FIQSI4NK3ELDUL4CBEK \
  | 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: f790fcfbe544248e355b22c745f04122a728010c9c2b65f170181d22f6be8e10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bee5363b1b6e9ab8adbcdeaf027c35ca213039e9d1d9843f427a7ac47a54b1b1",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "physics.ao-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2013-07-26T20:00:05Z",
    "title_canon_sha256": "d231819dfd69e59b391048a045dee5a1d5e0db751a2f8b38781617ceb6ef9c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7147",
    "kind": "arxiv",
    "version": 2
  }
}