Pith Number

pith:QXY6VCRI

pith:2021:QXY6VCRIR4FU5KJRY2EFBXMZSM

not attested not anchored not stored refs pending

Physics-Informed Neural Networks for Solving Multiscale Mode-Resolved Phonon Boltzmann Transport Equation

Eungkyu Lee, Ruiyang Li, Tengfei Luo

arxiv:2103.07983 v2 · 2021-03-14 · 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{QXY6VCRIR4FU5KJRY2EFBXMZSM}

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	2026-07-05T02:24:01.602734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f1ea8a288f0b4ea931c68850dd99931fdb34db79c5de65e8adebc336e5d5b5

Aliases

arxiv: 2103.07983 · arxiv_version: 2103.07983v2 · doi: 10.48550/arxiv.2103.07983 · pith_short_12: QXY6VCRIR4FU · pith_short_16: QXY6VCRIR4FU5KJR · pith_short_8: QXY6VCRI

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/QXY6VCRIR4FU5KJRY2EFBXMZSM \
  | 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: 85f1ea8a288f0b4ea931c68850dd99931fdb34db79c5de65e8adebc336e5d5b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e7b0dc069b974b2a8c1f5af41be9c1831d5c90e82005f20b123dd89e1e13322",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2021-03-14T17:49:18Z",
    "title_canon_sha256": "5e262805ee6038dd8b6b8adfb5601028e6d7c277731a2b068c6a7c0b3aeac771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.07983",
    "kind": "arxiv",
    "version": 2
  }
}