Pith Number

pith:54MBDKAZ

pith:2011:54MBDKAZJVHAQV6ENDZ2MM6AWI

not attested not anchored not stored refs pending

Objects Moving along Closed Timelike Curves belong to Proper Classes

Zhongzhu Liu

arxiv:1106.4707 v1 · 2011-06-23 · physics.gen-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{54MBDKAZJVHAQV6ENDZ2MM6AWI}

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	2026-05-18T03:51:12.907633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef1811a8194d4e0857c468f3a633c0b215d814fab919ae33ccfd3007f4da64b0

Aliases

arxiv: 1106.4707 · arxiv_version: 1106.4707v1 · doi: 10.48550/arxiv.1106.4707 · pith_short_12: 54MBDKAZJVHA · pith_short_16: 54MBDKAZJVHAQV6E · pith_short_8: 54MBDKAZ

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/54MBDKAZJVHAQV6ENDZ2MM6AWI \
  | 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: ef1811a8194d4e0857c468f3a633c0b215d814fab919ae33ccfd3007f4da64b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c1946b3fe28a97a850c5343daaa4741897d74faf16d727300f76b0398f867a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2011-06-23T13:07:52Z",
    "title_canon_sha256": "848e34ba544fed0f674679e874f728bb4a948039b54a7d8aa9b1b55fce0078f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4707",
    "kind": "arxiv",
    "version": 1
  }
}