Pith Number

pith:X32KZAJE

pith:2015:X32KZAJEWKPFGRZWJGUEVGBSIR

not attested not anchored not stored refs pending

Renormalized phonons in nonlinear lattices: A variational approach

Baowen Li, Changqin Wu, Junjie Liu, Nianbei Li, Sha Liu

arxiv:1501.04169 v1 · 2015-01-17 · 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{X32KZAJEWKPFGRZWJGUEVGBSIR}

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	2026-05-18T01:39:55.019703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bef4ac8124b29e53473649a84a9832446c314bb29f64af2ff52c16b70d8c3434

Aliases

arxiv: 1501.04169 · arxiv_version: 1501.04169v1 · doi: 10.48550/arxiv.1501.04169 · pith_short_12: X32KZAJEWKPF · pith_short_16: X32KZAJEWKPFGRZW · pith_short_8: X32KZAJE

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/X32KZAJEWKPFGRZWJGUEVGBSIR \
  | 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: bef4ac8124b29e53473649a84a9832446c314bb29f64af2ff52c16b70d8c3434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3462bc0ea7271f7ade63f9473201d40f1e40834fa7885c29bec9a8355a16bd46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-01-17T06:47:47Z",
    "title_canon_sha256": "4dedb87644abe3c809378ea788e82f473d2b09341085c927be439ec307396449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04169",
    "kind": "arxiv",
    "version": 1
  }
}