Pith Number

pith:MMQJVDMS

pith:2010:MMQJVDMSRAPU5VPQM66J7UHBBK

not attested not anchored not stored refs pending

Black-hole dynamics in BHT massive gravity

Hideki Maeda

arxiv:1012.5048 v1 · 2010-12-22 · 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{MMQJVDMSRAPU5VPQM66J7UHBBK}

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	2026-05-18T04:28:38.901259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63209a8d92881f4ed5f067bc9fd0e10a9b110784d7a2664b46bb2330a3b8b4db

Aliases

arxiv: 1012.5048 · arxiv_version: 1012.5048v1 · doi: 10.48550/arxiv.1012.5048 · pith_short_12: MMQJVDMSRAPU · pith_short_16: MMQJVDMSRAPU5VPQ · pith_short_8: MMQJVDMS

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/MMQJVDMSRAPU5VPQM66J7UHBBK \
  | 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: 63209a8d92881f4ed5f067bc9fd0e10a9b110784d7a2664b46bb2330a3b8b4db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f344da5759fddbc89a326fedf38e44a15dc322fbee9e717912d7ac2afd5781c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-22T17:33:17Z",
    "title_canon_sha256": "798913bf8d27f4b719d2e8758de41da9433cb5b692af0ba2d26723276fd9b30a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5048",
    "kind": "arxiv",
    "version": 1
  }
}