Pith Number

pith:ZGRFW5BT

pith:2017:ZGRFW5BTANQCG7K7KZOCE4YDZG

not attested not anchored not stored refs pending

Closed timelike curves and the second law of thermodynamics

Andrzej Grudka, Jacek Wychowaniec, Justyna {\L}odyga, Ma{\l}gorzata Bartkiewicz, Ryszard Horodecki

arxiv:1711.08334 v4 · 2017-11-22 · gr-qc · 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{ZGRFW5BTANQCG7K7KZOCE4YDZG}

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	2026-05-17T23:54:11.711604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a25b74330360237d5f565c227303c9b2af96aa7300b9842f4e302ef6807cbe

Aliases

arxiv: 1711.08334 · arxiv_version: 1711.08334v4 · doi: 10.48550/arxiv.1711.08334 · pith_short_12: ZGRFW5BTANQC · pith_short_16: ZGRFW5BTANQCG7K7 · pith_short_8: ZGRFW5BT

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/ZGRFW5BTANQCG7K7KZOCE4YDZG \
  | 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: c9a25b74330360237d5f565c227303c9b2af96aa7300b9842f4e302ef6807cbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd4a0e28d923a6eb3a089b60a0048776726341dd8c0897ce3439c5162e034e26",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-11-22T15:21:29Z",
    "title_canon_sha256": "2044ca7c7d1168c7648af6a0f6825d223c808cafe4b4dbe98a2e17e6de5e9989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08334",
    "kind": "arxiv",
    "version": 4
  }
}