Pith Number

pith:IIBKRPFR

pith:2001:IIBKRPFRYXR7CQH4FHPH4XAZPY

not attested not anchored not stored refs pending

Stationary states of Jaynes-Cummings model with atomic center-of-mass quantum motion: direct comparison of standing-wave and counterpropagating-waves cases

A. Zh. Muradyan, G. A. Muradyan

arxiv:quant-ph/0112164 v1 · 2001-12-26 · 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{IIBKRPFRYXR7CQH4FHPH4XAZPY}

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	2026-07-04T14:45:52.228258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4202a8bcb1c5e3f140fc29de7e5c197e3f6bee78c9546238b5783741a4f345ff

Aliases

arxiv: quant-ph/0112164 · arxiv_version: quant-ph/0112164v1 · doi: 10.48550/arxiv.quant-ph/0112164 · pith_short_12: IIBKRPFRYXR7 · pith_short_16: IIBKRPFRYXR7CQH4 · pith_short_8: IIBKRPFR

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/IIBKRPFRYXR7CQH4FHPH4XAZPY \
  | 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: 4202a8bcb1c5e3f140fc29de7e5c197e3f6bee78c9546238b5783741a4f345ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6c70ad1665d5cff3221da6c6d0ac5292a0461b91c5883638e9a6ceee91adffd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-12-26T07:36:27Z",
    "title_canon_sha256": "529b43a521bb4f49d1f00ecc68dbd86cee851991c4cbb68bad3a005217ef650f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0112164",
    "kind": "arxiv",
    "version": 1
  }
}