Pith Number

pith:56B52OLP

pith:2026:56B52OLPYJKITSOZM6CEA2JVZD

not attested not anchored not stored refs pending

Statistical orientation and distribution of columnar ice crystals in turbulent flows

A. Naso, A. Pumir, B. Mehlig, E. L\'ev\^eque, K. Gustavsson, M. Z. Sheikh

arxiv:2606.06374 v1 · 2026-06-04 · 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{56B52OLPYJKITSOZM6CEA2JVZD}

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	2026-06-05T01:15:43.584390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef83dd396fc25489c9d96784406935c8f1a168ee44b42445687a03822e96b7bb

Aliases

arxiv: 2606.06374 · arxiv_version: 2606.06374v1 · doi: 10.48550/arxiv.2606.06374 · pith_short_12: 56B52OLPYJKI · pith_short_16: 56B52OLPYJKITSOZ · pith_short_8: 56B52OLP

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/56B52OLPYJKITSOZM6CEA2JVZD \
  | 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: ef83dd396fc25489c9d96784406935c8f1a168ee44b42445687a03822e96b7bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "135f49292092c8027ffbf46b903e9db80d32fedf17f5d73f9894560f8b4d775c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-06-04T16:42:46Z",
    "title_canon_sha256": "0d6cb680d2d449d6cb28b4e21a09d04b45438b5b2ebd73c6fc6c8f8e26ccf42b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06374",
    "kind": "arxiv",
    "version": 1
  }
}