Pith Number

pith:4OPPOIP4

pith:2011:4OPPOIP4P7LP6ZLMYY6LOXWAU5

not attested not anchored not stored refs pending

Current-carrying string loops in black-hole spacetimes with a repulsive cosmological constant

Martin Kolo\v{s}, Zden\v{e}k Stuchl\'ik

arxiv:1103.4005 v1 · 2011-03-21 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OPPOIP4P7LP6ZLMYY6LOXWAU5}

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	2026-05-18T04:26:12.629518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e39ef721fc7fd6ff656cc63cb75ec0a75e3748464270d451bfd23d509db67e7d

Aliases

arxiv: 1103.4005 · arxiv_version: 1103.4005v1 · doi: 10.48550/arxiv.1103.4005 · pith_short_12: 4OPPOIP4P7LP · pith_short_16: 4OPPOIP4P7LP6ZLM · pith_short_8: 4OPPOIP4

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/4OPPOIP4P7LP6ZLMYY6LOXWAU5 \
  | 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: e39ef721fc7fd6ff656cc63cb75ec0a75e3748464270d451bfd23d509db67e7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d577379bd556422ebbbef1dda067f70aa32321de5718e9149108d7a2682db88",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-03-21T13:35:20Z",
    "title_canon_sha256": "db9233dc9425e7799ecef71b252919d70f6d9e9de406907664b36385075cd9cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4005",
    "kind": "arxiv",
    "version": 1
  }
}