Pith Number

pith:LDVH5V26

pith:2011:LDVH5V26B4ZL3H7AYKQOMXQZEE

not attested not anchored not stored refs pending

Theory of rigid-plane phonon modes in layered crystals

B. Verberck, K.H. Michel

arxiv:1112.5544 v1 · 2011-12-23 · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDVH5V26B4ZL3H7AYKQOMXQZEE}

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	2026-05-18T03:48:45.050553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58ea7ed75e0f32bd9fe0c2a0e65e192136f430bda8b4927e86c9b112df191f77

Aliases

arxiv: 1112.5544 · arxiv_version: 1112.5544v1 · doi: 10.48550/arxiv.1112.5544 · pith_short_12: LDVH5V26B4ZL · pith_short_16: LDVH5V26B4ZL3H7A · pith_short_8: LDVH5V26

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/LDVH5V26B4ZL3H7AYKQOMXQZEE \
  | 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: 58ea7ed75e0f32bd9fe0c2a0e65e192136f430bda8b4927e86c9b112df191f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f5f3702230fc7276a20497b232fb1963c23618e5b1d11a4dfc826d7ad2ed0bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2011-12-23T09:55:18Z",
    "title_canon_sha256": "8a94b7aadaafad230c04072ca606acb3f2c63e9c97b0b43c407f7d6a1f2b5c9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5544",
    "kind": "arxiv",
    "version": 1
  }
}