Pith Number

pith:CSECPAUF

pith:2021:CSECPAUFOGSBWV5NPHWIEMRRHJ

not attested not anchored not stored refs pending

On the Counter-Rotation of Closed Timelike Curves

Fangxun Liu, Yen Chin Ong, Yuanyuan Duan, Yu Wang

arxiv:2107.08844 v1 · 2021-07-19 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSECPAUFOGSBWV5NPHWIEMRRHJ}

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	2026-07-05T03:52:29.936558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

148827828571a41b57ad79ec8232313a41f28384705ab8ea51bd6eddd6d5db8d

Aliases

arxiv: 2107.08844 · arxiv_version: 2107.08844v1 · doi: 10.48550/arxiv.2107.08844 · pith_short_12: CSECPAUFOGSB · pith_short_16: CSECPAUFOGSBWV5N · pith_short_8: CSECPAUF

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/CSECPAUFOGSBWV5NPHWIEMRRHJ \
  | 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: 148827828571a41b57ad79ec8232313a41f28384705ab8ea51bd6eddd6d5db8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eb6744173f88b6af3f087b23233d1636c4e56e0531a243943ae3a3b28780779",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-19T13:02:24Z",
    "title_canon_sha256": "3254eafa615921351eed768a42b9cc597e5c46a7699132c186bd513f9dfa7db6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.08844",
    "kind": "arxiv",
    "version": 1
  }
}