Pith Number

pith:BTP2PHSS

pith:2026:BTP2PHSSBN7WMOWQVETYGMX5IS

not attested not anchored not stored refs pending

Exact Resonances Are Not Sufficient for Phonon Energy Diffusion

Hong Zhao, Wei Lin, Yong Zhang

arxiv:2608.03180 v1 · 2026-08-04 · cond-mat.stat-mech · math-ph · math.MP · physics.class-ph · quant-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{BTP2PHSSBN7WMOWQVETYGMX5IS}

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	2026-08-05T00:46:03.286100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cdfa79e520b7f663ad0a9278332fd448147671a0f9b822bda2cb5658e3d7376

Aliases

arxiv: 2608.03180 · arxiv_version: 2608.03180v1 · doi: 10.48550/arxiv.2608.03180 · pith_short_12: BTP2PHSSBN7W · pith_short_16: BTP2PHSSBN7WMOWQ · pith_short_8: BTP2PHSS

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/BTP2PHSSBN7WMOWQVETYGMX5IS \
  | 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: 0cdfa79e520b7f663ad0a9278332fd448147671a0f9b822bda2cb5658e3d7376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d28f5134858c4e92c53e9c2932c44ea12c27594abf9c90a41d78a1c713727d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.class-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-08-04T06:17:20Z",
    "title_canon_sha256": "1e22f0ef7acd1b146c12f40528da8e2c39335a7d6837260bcc4670cad464c836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03180",
    "kind": "arxiv",
    "version": 1
  }
}