Pith Number

pith:56RHXUXJ

pith:2025:56RHXUXJKCMMJO6ZQURPYW5CU5

not attested not anchored not stored refs pending

Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport

Chuang Zhang, Hongyu Liu, Kun Xu, Xiaojian Yang, Xing Ji

arxiv:2506.09465 v1 · 2025-06-11 · 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{56RHXUXJKCMMJO6ZQURPYW5CU5}

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	2026-07-05T11:19:37.959116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efa27bd2e95098c4bbd98522fc5ba2a76375ead10dd7a0134373a22e53c44ef5

Aliases

arxiv: 2506.09465 · arxiv_version: 2506.09465v1 · doi: 10.48550/arxiv.2506.09465 · pith_short_12: 56RHXUXJKCMM · pith_short_16: 56RHXUXJKCMMJO6Z · pith_short_8: 56RHXUXJ

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/56RHXUXJKCMMJO6ZQURPYW5CU5 \
  | 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: efa27bd2e95098c4bbd98522fc5ba2a76375ead10dd7a0134373a22e53c44ef5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eb8ecd7a102b2030ecb668563c77e957b38ce85ee67565727d5ded9861c4bc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2025-06-11T07:14:11Z",
    "title_canon_sha256": "444f70337151ed1e8d709c7668cfbced3c09670e412f7499ab142002328a9731"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09465",
    "kind": "arxiv",
    "version": 1
  }
}