Pith Number

pith:ILC2YR2Q

pith:2010:ILC2YR2QMZM6JSRJD3D6ZYGKUG

not attested not anchored not stored refs pending

Closed timelike curves and causality violation

Francisco S. N. Lobo

arxiv:1008.1127 v1 · 2010-08-06 · gr-qc · astro-ph.HE · 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{ILC2YR2QMZM6JSRJD3D6ZYGKUG}

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	2026-05-18T03:10:12.484817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42c5ac47506659e4ca291ec7ece0caa1b3460d8efbb5a5164f509e9a76c4828d

Aliases

arxiv: 1008.1127 · arxiv_version: 1008.1127v1 · doi: 10.48550/arxiv.1008.1127 · pith_short_12: ILC2YR2QMZM6 · pith_short_16: ILC2YR2QMZM6JSRJ · pith_short_8: ILC2YR2Q

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/ILC2YR2QMZM6JSRJD3D6ZYGKUG \
  | 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: 42c5ac47506659e4ca291ec7ece0caa1b3460d8efbb5a5164f509e9a76c4828d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b4b126e8680a1c346b695b01ea7c87aa8b00187fd33681c38a5467148bba7a5",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-08-06T07:24:39Z",
    "title_canon_sha256": "423828afbf853ccadd1e9342439bdffe3aa9ccaa542a8193043f456013a0ed62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1127",
    "kind": "arxiv",
    "version": 1
  }
}