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Pith Number

pith:XY5WOIEC

pith:2008:XY5WOIECPUFTICPH6EFVHWNWNU
not attested not anchored not stored refs pending

Cosmological Topologically Massive Gravitons and Photons

A. Waldron, D.K. Wise, S. Carlip, S. Deser

arxiv:0803.3998 v4 · 2008-03-27 · hep-th · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XY5WOIECPUFTICPH6EFVHWNWNU}

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 2026-07-04T17:27:20.310175Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

be3b6720827d0b3409e7f10b53d9b66d2efbce4e95558736a9e3099bdc6429a9

Aliases

arxiv: 0803.3998 · arxiv_version: 0803.3998v4 · doi: 10.48550/arxiv.0803.3998 · pith_short_12: XY5WOIECPUFT · pith_short_16: XY5WOIECPUFTICPH · pith_short_8: XY5WOIEC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XY5WOIECPUFTICPH6EFVHWNWNU \
  | 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: be3b6720827d0b3409e7f10b53d9b66d2efbce4e95558736a9e3099bdc6429a9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "065277db49e2069f528cf568e8da4400ddc1554a9741559947db1636b6056cdc",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-03-27T19:00:57Z",
    "title_canon_sha256": "c90a74f7ef5fa0b712ee408b6852d1ebd311a001e62fd72c26e5dc924d509df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3998",
    "kind": "arxiv",
    "version": 4
  }
}