Pith Number

pith:7A4MCFRA

pith:2011:7A4MCFRAC2OAZBPPL4WDKK4IHX

not attested not anchored not stored refs pending

Domain Structure of Black Hole Space-Times with a Cosmological Constant

Jay Armas, Pawel Caputa, Troels Harmark

arxiv:1111.1163 v2 · 2011-11-04 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7A4MCFRAC2OAZBPPL4WDKK4IHX}

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	2026-05-18T02:30:48.007638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f838c11620169c0c85ef5f2c352b883dff12d59e60a04c7ae68a4d8df89e606f

Aliases

arxiv: 1111.1163 · arxiv_version: 1111.1163v2 · doi: 10.48550/arxiv.1111.1163 · pith_short_12: 7A4MCFRAC2OA · pith_short_16: 7A4MCFRAC2OAZBPP · pith_short_8: 7A4MCFRA

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/7A4MCFRAC2OAZBPPL4WDKK4IHX \
  | 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: f838c11620169c0c85ef5f2c352b883dff12d59e60a04c7ae68a4d8df89e606f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4894757b8424a2e78b4fb0e185b7f7a91ea10ebdce2fb83995138146f997225",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-11-04T15:46:01Z",
    "title_canon_sha256": "a61b113fe37efcbe3879784984a1b9a891ba753ee8849f3f3ac08409621d01cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1163",
    "kind": "arxiv",
    "version": 2
  }
}