Pith Number

pith:JLPIKA5V

pith:2011:JLPIKA5VEYW2VIMW6FY2QVIGE5

not attested not anchored not stored refs pending

Lewis-Riesenfeld invariants and transitionless tracking algorithm

E. Torrontegui, J. G. Muga, Xi Chen

arxiv:1102.3449 v1 · 2011-02-16 · 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{JLPIKA5VEYW2VIMW6FY2QVIGE5}

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	2026-05-18T04:16:11.988447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ade8503b5262daaa196f171a8550627652d64c1924550a4417db4b7ce8abb8d

Aliases

arxiv: 1102.3449 · arxiv_version: 1102.3449v1 · doi: 10.48550/arxiv.1102.3449 · pith_short_12: JLPIKA5VEYW2 · pith_short_16: JLPIKA5VEYW2VIMW · pith_short_8: JLPIKA5V

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/JLPIKA5VEYW2VIMW6FY2QVIGE5 \
  | 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: 4ade8503b5262daaa196f171a8550627652d64c1924550a4417db4b7ce8abb8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a80e85a3e6b50aabb30f2d491a844f044415bb9988cb05c898d0ac57c43adb58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-02-16T22:49:21Z",
    "title_canon_sha256": "1c6fa30da4915d1b74d5365f1af29609a6f3e56df592c2212584a39a22ff1516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3449",
    "kind": "arxiv",
    "version": 1
  }
}