Pith Number

pith:VLX4PC6A

pith:2016:VLX4PC6AUNNGFVSYVMM5KCY53P

not attested not anchored not stored refs pending

Invertibility of the retarded response functions for initial mixed states: application to one-body reduced density matrix functional theory

Klaas J.H. Giesbertz

arxiv:1601.00747 v1 · 2016-01-05 · quant-ph · cond-mat.stat-mech · math-ph · math.MP · physics.atom-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{VLX4PC6AUNNGFVSYVMM5KCY53P}

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	2026-05-18T01:16:43.821281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaefc78bc0a35a62d658ab19d50b1ddbf42ddc50938da88a0c27a89f97e74ef3

Aliases

arxiv: 1601.00747 · arxiv_version: 1601.00747v1 · doi: 10.48550/arxiv.1601.00747 · pith_short_12: VLX4PC6AUNNG · pith_short_16: VLX4PC6AUNNGFVSY · pith_short_8: VLX4PC6A

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/VLX4PC6AUNNGFVSYVMM5KCY53P \
  | 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: aaefc78bc0a35a62d658ab19d50b1ddbf42ddc50938da88a0c27a89f97e74ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5ce972cdc51a553d46074ccfa04219ed711cf8d2b64fb3c06af6e6814727874",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-01-05T06:50:23Z",
    "title_canon_sha256": "5e113845b646a1d968e8f4eb51099c8e313a03f9d9659a9cdd7696f0181e7771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00747",
    "kind": "arxiv",
    "version": 1
  }
}