Pith Number

pith:4T45H4HD

pith:2025:4T45H4HD66CLKX27ASV2ZKBXEL

not attested not anchored not stored refs pending

Unified gas-kinetic wave-particle method for multi-scale phonon transport

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

arxiv:2505.09297 v1 · 2025-05-14 · physics.comp-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4T45H4HD66CLKX27ASV2ZKBXEL}

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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.

Cited by

1 paper in Pith

Electromagnetic Flow Control in Hypersonic Rarefied Environment

Receipt and verification

First computed	2026-07-05T11:03:05.847058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4f9d3f0e3f784b55f5f04abaca83722ec989a9d57c386959559e4872741728d

Aliases

arxiv: 2505.09297 · arxiv_version: 2505.09297v1 · doi: 10.48550/arxiv.2505.09297 · pith_short_12: 4T45H4HD66CL · pith_short_16: 4T45H4HD66CLKX27 · pith_short_8: 4T45H4HD

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/4T45H4HD66CLKX27ASV2ZKBXEL \
  | 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: e4f9d3f0e3f784b55f5f04abaca83722ec989a9d57c386959559e4872741728d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd1ef74495d17cbae66edfbf00ea3dd7befc206947ebacac1b19d2c9b3a82ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2025-05-14T11:26:04Z",
    "title_canon_sha256": "fe8e8d7b6bf6de6b4c67e26d34e2a4dbf4eda1f26afc53cec6bd0952df2eec3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09297",
    "kind": "arxiv",
    "version": 1
  }
}