Pith Number

pith:GMBGENNR

pith:2026:GMBGENNR4GERUXV4TRVM7O32P3

not attested not anchored not stored refs pending

A sub-grid-scale model for polydisperse bubbly flows with heat and mass transfer

Anand Radhakrishnan, Spencer H. Bryngelson

arxiv:2607.27426 v1 · 2026-07-29 · physics.flu-dyn · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMBGENNR4GERUXV4TRVM7O32P3}

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	2026-07-31T00:12:00.198521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

33026235b1e1891a5ebc9c6acfbb7a7eefb751e38d6924f07bf2892c28806e0b

Aliases

arxiv: 2607.27426 · arxiv_version: 2607.27426v1 · doi: 10.48550/arxiv.2607.27426 · pith_short_12: GMBGENNR4GER · pith_short_16: GMBGENNR4GERUXV4 · pith_short_8: GMBGENNR

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/GMBGENNR4GERUXV4TRVM7O32P3 \
  | 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: 33026235b1e1891a5ebc9c6acfbb7a7eefb751e38d6924f07bf2892c28806e0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d2a4925ce8f48acf403b285f63694ae4d3044d4903042d36f6589b4bed55ee6",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-07-29T19:54:50Z",
    "title_canon_sha256": "24921998ed6c907abf9249407067e00a66c8ed71b3f791dcf36879a06a0d96a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27426",
    "kind": "arxiv",
    "version": 1
  }
}