Pith Number

pith:KIJMVS3I

pith:2019:KIJMVS3IDYIL3YUDDHKBSWAIG3

not attested not anchored not stored refs pending

Quantum operator entropies under unitary evolution

Craig S. Lent

arxiv:1901.08956 v4 · 2019-01-25 · 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{KIJMVS3IDYIL3YUDDHKBSWAIG3}

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	2026-05-17T23:41:45.260706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5212cacb681e10bde28319d419580836f349c65b0d36c055bfd6418b54128ad1

Aliases

arxiv: 1901.08956 · arxiv_version: 1901.08956v4 · doi: 10.48550/arxiv.1901.08956 · pith_short_12: KIJMVS3IDYIL · pith_short_16: KIJMVS3IDYIL3YUD · pith_short_8: KIJMVS3I

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/KIJMVS3IDYIL3YUDDHKBSWAIG3 \
  | 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: 5212cacb681e10bde28319d419580836f349c65b0d36c055bfd6418b54128ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ffea9f535d95c271010bafad22cfefcb61ea3c5c258ebe74d66c1f8ae8d0217",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-01-25T16:23:18Z",
    "title_canon_sha256": "f572150dc656dd14abf18dc2f89cbdc27c1eccc2f5266060968c98344eeac005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08956",
    "kind": "arxiv",
    "version": 4
  }
}