Pith Number

pith:DY7EWLZL

pith:2015:DY7EWLZLQHFBBN34J2JWTUIVCF

not attested not anchored not stored refs pending

Variational approach to renormalized phonon in momentum-nonconserving nonlinear lattices

Baowen Li, Changqin Wu, Junjie Liu

arxiv:1506.06885 v2 · 2015-06-23 · 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{DY7EWLZLQHFBBN34J2JWTUIVCF}

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	2026-05-18T01:04:30.218960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e3e4b2f2b81ca10b77c4e9369d11511563b15d738b8c67a38d897538903de40

Aliases

arxiv: 1506.06885 · arxiv_version: 1506.06885v2 · doi: 10.48550/arxiv.1506.06885 · pith_short_12: DY7EWLZLQHFB · pith_short_16: DY7EWLZLQHFBBN34 · pith_short_8: DY7EWLZL

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/DY7EWLZLQHFBBN34J2JWTUIVCF \
  | 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: 1e3e4b2f2b81ca10b77c4e9369d11511563b15d738b8c67a38d897538903de40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "951895fbfb0cd3deab9fb403f30b7f311ec0f5356489c5f543a55b623cc662c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-06-23T07:32:49Z",
    "title_canon_sha256": "8180256e34150621b1de8538184d457ae429e306adb24a689e91d4f790c210ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06885",
    "kind": "arxiv",
    "version": 2
  }
}