Pith Number

pith:5U3GXDDJ

pith:2015:5U3GXDDJ7XTJAWKDSSNXZ6GPIH

not attested not anchored not stored refs pending

Collisional Aggregation due to Turbulence

Alain Pumir, Michael Wilkinson

arxiv:1508.01538 v1 · 2015-08-06 · 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{5U3GXDDJ7XTJAWKDSSNXZ6GPIH}

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	2026-05-18T01:16:49.510944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed366b8c69fde6905943949b7cf8cf41cc9216805136a11e59bb9edd4bd2042f

Aliases

arxiv: 1508.01538 · arxiv_version: 1508.01538v1 · doi: 10.48550/arxiv.1508.01538 · pith_short_12: 5U3GXDDJ7XTJ · pith_short_16: 5U3GXDDJ7XTJAWKD · pith_short_8: 5U3GXDDJ

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/5U3GXDDJ7XTJAWKDSSNXZ6GPIH \
  | 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: ed366b8c69fde6905943949b7cf8cf41cc9216805136a11e59bb9edd4bd2042f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbd1dc5a920ff0dcd1ce1ff52910861fb4dc9550591e2de65fe896a9344194ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-08-06T20:40:47Z",
    "title_canon_sha256": "56639b62f1c5b59e66ddb777029d6e0e450e13b014cb31dda6d13132334a7743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01538",
    "kind": "arxiv",
    "version": 1
  }
}