Pith Number

pith:T53JUDZK

pith:2019:T53JUDZK46QDXUAMBQUIENDXHE

not attested not anchored not stored refs pending

$N$-phonon bundle emission via the anti-Stokes process

Fabrice P. Laussy, Franco Nori, Qian Bin, Xin-You L\"u, Ying Wu

arxiv:1907.12714 v2 · 2019-07-30 · 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{T53JUDZK46QDXUAMBQUIENDXHE}

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	2026-07-05T00:39:56.630359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f769a0f2ae7a03bd00c0c28823477393c89beb6b5d6ab249c7bc3680c7d72c1

Aliases

arxiv: 1907.12714 · arxiv_version: 1907.12714v2 · doi: 10.48550/arxiv.1907.12714 · pith_short_12: T53JUDZK46QD · pith_short_16: T53JUDZK46QDXUAM · pith_short_8: T53JUDZK

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/T53JUDZK46QDXUAMBQUIENDXHE \
  | 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: 9f769a0f2ae7a03bd00c0c28823477393c89beb6b5d6ab249c7bc3680c7d72c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "380b0bf16a852c82f4e3bfeadae1b51f6af48577d7b4b0a3512a7debe5c2abf4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-07-30T02:57:55Z",
    "title_canon_sha256": "97a42e00bbc4a4bf4d7f29eedb52581081d338bf9755bcd414499120b99cd44f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.12714",
    "kind": "arxiv",
    "version": 2
  }
}