Pith Number

pith:Z4TBZFIR

pith:2012:Z4TBZFIRLVHCSYTH255FXTVPNH

not attested not anchored not stored refs pending

How gravity and size affect the acceleration statistics of bubbles in turbulence

Chao Sun, Detlef Lohse, Enrico Calzavarini, Federico Toschi, Julian Martinez Mercado, Vivek N. Prakash, Yoshiyuki Tagawa

arxiv:1204.4108 v2 · 2012-04-18 · 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{Z4TBZFIRLVHCSYTH255FXTVPNH}

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	2026-05-18T03:42:44.385175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf261c95115d4e296267d77a5bceaf69efdf445305a7402bbd4cd8be8e621e85

Aliases

arxiv: 1204.4108 · arxiv_version: 1204.4108v2 · doi: 10.48550/arxiv.1204.4108 · pith_short_12: Z4TBZFIRLVHC · pith_short_16: Z4TBZFIRLVHCSYTH · pith_short_8: Z4TBZFIR

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/Z4TBZFIRLVHCSYTH255FXTVPNH \
  | 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: cf261c95115d4e296267d77a5bceaf69efdf445305a7402bbd4cd8be8e621e85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10ca16a5079362e8d43a860c342c28caf20b2fab30713a6b697b98d71cea4302",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2012-04-18T15:23:44Z",
    "title_canon_sha256": "c065c9dee8d4b9453dbfc316f89c0ebb8aa3040bd9f779fac256d4cf99881a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4108",
    "kind": "arxiv",
    "version": 2
  }
}