Pith Number

pith:3OHLTU7L

pith:2026:3OHLTU7LLBENMRY46WOV4KKK4L

not attested not anchored not stored refs pending

Coupling Heterarchical Granular Dynamics and Computational Fluid Dynamics

Alistair Gillespie, Benjy Marks, Itai Einav, Jiahuan Li, Matthew J Cleary, Shivakumar Athani

arxiv:2606.23202 v1 · 2026-06-22 · cond-mat.soft

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OHLTU7LLBENMRY46WOV4KKK4L}

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	2026-06-23T03:14:12.866375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db8eb9d3eb5848d6471cf59d5e294ae2f9d62e6b337645490917a9ae07c5de62

Aliases

arxiv: 2606.23202 · arxiv_version: 2606.23202v1 · doi: 10.48550/arxiv.2606.23202 · pith_short_12: 3OHLTU7LLBEN · pith_short_16: 3OHLTU7LLBENMRY4 · pith_short_8: 3OHLTU7L

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/3OHLTU7LLBENMRY46WOV4KKK4L \
  | 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: db8eb9d3eb5848d6471cf59d5e294ae2f9d62e6b337645490917a9ae07c5de62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99f45d3ca248b20ef12214400c62c1f7291cc10774560f0bd07f422595b6c8df",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-06-22T11:47:05Z",
    "title_canon_sha256": "e56261de694e361544de954d6a458842dab6ae55cebadbce3a37d38df3113023"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23202",
    "kind": "arxiv",
    "version": 1
  }
}