Pith Number

pith:X5EY4JXR

pith:2015:X5EY4JXRC3K5K2AP2NEJXVLNJ4

not attested not anchored not stored refs pending

Temperature and Frequency Dependent Mean Free Paths of Renormalized Phonons in Nonlinear Lattices

Baowen Li, Changqin Wu, Junjie Liu, Nianbei Li

arxiv:1510.03190 v1 · 2015-10-12 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5EY4JXRC3K5K2AP2NEJXVLNJ4}

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	2026-05-18T01:30:32.522743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf498e26f116d5d5680fd3489bd56d4f174f991dc1c36c70107c44688035f0d3

Aliases

arxiv: 1510.03190 · arxiv_version: 1510.03190v1 · doi: 10.48550/arxiv.1510.03190 · pith_short_12: X5EY4JXRC3K5 · pith_short_16: X5EY4JXRC3K5K2AP · pith_short_8: X5EY4JXR

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/X5EY4JXRC3K5K2AP2NEJXVLNJ4 \
  | 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: bf498e26f116d5d5680fd3489bd56d4f174f991dc1c36c70107c44688035f0d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e12442b3336b6aa6fb57715c32893cc1b7894206e93e3713d242bd253fbc72b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-10-12T09:05:08Z",
    "title_canon_sha256": "78a7164c273b26ff38f7cf2eae71d3c0cf637d1e8b7d396c71222f0fcaf3df1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03190",
    "kind": "arxiv",
    "version": 1
  }
}