pith. sign in
Pith Number

pith:WZ4Y7G7G

pith:2013:WZ4Y7G7GVA3HBUX2FHEDNUSUMA
not attested not anchored not stored refs pending

Mass of a Black Hole Firewall

J.-P. Lasota, M.A. Abramowicz, W. Klu\'zniak

arxiv:1311.0239 v3 · 2013-11-01 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WZ4Y7G7GVA3HBUX2FHEDNUSUMA}

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 2026-05-18T02:57:06.405855Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b6798f9be6a83670d2fa29c836d25460295a960f33dfd9784eeb388ca7e5f921

Aliases

arxiv: 1311.0239 · arxiv_version: 1311.0239v3 · doi: 10.48550/arxiv.1311.0239 · pith_short_12: WZ4Y7G7GVA3H · pith_short_16: WZ4Y7G7GVA3HBUX2 · pith_short_8: WZ4Y7G7G
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WZ4Y7G7GVA3HBUX2FHEDNUSUMA \
  | 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: b6798f9be6a83670d2fa29c836d25460295a960f33dfd9784eeb388ca7e5f921
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ebafc6412c057ee5d104f8e9c98933be3f2dc42bb7fb6f0d1373bf4aa0703da8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-11-01T18:00:44Z",
    "title_canon_sha256": "acba3403d15303e07b3f4c91bfa121478ed19ba9f36f0af1eb03e1cfcddec73f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0239",
    "kind": "arxiv",
    "version": 3
  }
}