Pith Number

pith:RHOK2PTW

pith:2015:RHOK2PTWT3DPJ7DYNS5WJW4IVG

not attested not anchored not stored refs pending

Algebraic theory of crystal vibrations: Singularities and zeros in vibrations of 1D and 2D lattices

A. Richter, B. Dietz, F. Iachello, M. Miski-Oglu

arxiv:1506.01707 v1 · 2015-06-02 · cond-mat.other · 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{RHOK2PTWT3DPJ7DYNS5WJW4IVG}

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	2026-05-18T01:36:43.071759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89dcad3e769ec6f4fc786cbb64db88a9840e33df1804708206e8044742e37d79

Aliases

arxiv: 1506.01707 · arxiv_version: 1506.01707v1 · doi: 10.48550/arxiv.1506.01707 · pith_short_12: RHOK2PTWT3DP · pith_short_16: RHOK2PTWT3DPJ7DY · pith_short_8: RHOK2PTW

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/RHOK2PTWT3DPJ7DYNS5WJW4IVG \
  | 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: 89dcad3e769ec6f4fc786cbb64db88a9840e33df1804708206e8044742e37d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "960f2879447d46e645290e289a108c1c96e6fe1252a438c435104693427eb6bf",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2015-06-02T20:18:14Z",
    "title_canon_sha256": "63f47b0e6794947da72990ba97ebcc03071d29de42dec0120f1e866dfc929ea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01707",
    "kind": "arxiv",
    "version": 1
  }
}