Pith Number

pith:T4E5AV6P

pith:2026:T4E5AV6PIQCPHOEA2IE6QNWOF3

not attested not anchored not stored refs pending

Gaussian time-translation covariant operations: structure, implementation, and thermodynamics

Giovanni Spaventa, Jeongrak Son, Lea Lautenbacher, Martin B. Plenio, Nelly H.Y. Ng, Xueyuan Hu

arxiv:2601.02471 v2 · 2026-01-05 · 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{T4E5AV6PIQCPHOEA2IE6QNWOF3}

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	2026-07-10T00:18:42.859618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f09d057cf4404f3b880d209e836ce2ec9715e8b8fc4419989542af439f205ba

Aliases

arxiv: 2601.02471 · arxiv_version: 2601.02471v2 · doi: 10.48550/arxiv.2601.02471 · pith_short_12: T4E5AV6PIQCP · pith_short_16: T4E5AV6PIQCPHOEA · pith_short_8: T4E5AV6P

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/T4E5AV6PIQCPHOEA2IE6QNWOF3 \
  | 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: 9f09d057cf4404f3b880d209e836ce2ec9715e8b8fc4419989542af439f205ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45d0442fa1515e899cb11836cc094bcb1b32f393e0e1fdc1595956cc94e9a11f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-01-05T19:00:01Z",
    "title_canon_sha256": "274518d54665a6daa759a1428b517598ee3b457103815efc6394b82260d0d562"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.02471",
    "kind": "arxiv",
    "version": 2
  }
}