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Pith Number

pith:OG3NDAC3

pith:1993:OG3NDAC3IGAJNJDBYBEWSLK7FH
not attested not anchored not stored refs pending

An extension of Birkhoff's theorem to a class of 2-d gravity theories containing black holes

Youngjai Kiem

arxiv:hep-th/9310047 v1 · 1993-10-07 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OG3NDAC3IGAJNJDBYBEWSLK7FH}

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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 2026-05-18T04:37:43.060888Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

71b6d1805b418096a461c049692d5f29e891163f877958437c3ee7b90b7c14bb

Aliases

arxiv: hep-th/9310047 · arxiv_version: hep-th/9310047v1 · doi: 10.48550/arxiv.hep-th/9310047 · pith_short_12: OG3NDAC3IGAJ · pith_short_16: OG3NDAC3IGAJNJDB · pith_short_8: OG3NDAC3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OG3NDAC3IGAJNJDBYBEWSLK7FH \
  | 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: 71b6d1805b418096a461c049692d5f29e891163f877958437c3ee7b90b7c14bb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a2209241a3a2cdccebad3e1503aa5da83683d45d4d71648519503e3c88f15180",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-10-07T18:24:20Z",
    "title_canon_sha256": "0f2fbf10dc954e7f3243ccecdccbb2c5d6e46f744e8478767984d29b17a1d605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9310047",
    "kind": "arxiv",
    "version": 1
  }
}