Pith Number

pith:JJHAKK7O

pith:2009:JJHAKK7OOO4DMSGYLHDEKUZLEH

not attested not anchored not stored refs pending

Quantized excitations of internal affine modes and their influence on Raman spectra

A. Martens, B. Go{\l}ubowska, E. E. Ro\.zko, J. J. S{\l}awianowski, V. Kovalchuk

arxiv:0901.0243 v4 · 2009-01-02 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJHAKK7OOO4DMSGYLHDEKUZLEH}

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	2026-05-18T04:33:16.224919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a4e052bee73b83648d859c645532b21c9875023779ca5e177b0795a19422a1a

Aliases

arxiv: 0901.0243 · arxiv_version: 0901.0243v4 · doi: 10.48550/arxiv.0901.0243 · pith_short_12: JJHAKK7OOO4D · pith_short_16: JJHAKK7OOO4DMSGY · pith_short_8: JJHAKK7O

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/JJHAKK7OOO4DMSGYLHDEKUZLEH \
  | 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: 4a4e052bee73b83648d859c645532b21c9875023779ca5e177b0795a19422a1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c037c5b779bf206a60acd01914a5e160d6de0a2caebd21468548b5598386e56f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-01-02T15:00:01Z",
    "title_canon_sha256": "aa9c4a2502e0f2b8f37b8f12241cc208db4d03db241cc98544d1420245017831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0243",
    "kind": "arxiv",
    "version": 4
  }
}