Pith Number

pith:FT3AHLXP

pith:2015:FT3AHLXPWJSSVYVZFDNUWCJWFY

not attested not anchored not stored refs pending

Asymptotically flat black holes and gravitational waves in three-dimensional massive gravity

C\'edric Troessaert, David Tempo, Ricardo Troncoso

arxiv:1512.09046 v1 · 2015-12-30 · 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{FT3AHLXPWJSSVYVZFDNUWCJWFY}

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	2026-05-18T01:23:34.125409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cf603aeefb2652ae2b928db4b09362e33c4cdbb8afe45dfb596ae403396057d

Aliases

arxiv: 1512.09046 · arxiv_version: 1512.09046v1 · doi: 10.48550/arxiv.1512.09046 · pith_short_12: FT3AHLXPWJSS · pith_short_16: FT3AHLXPWJSSVYVZ · pith_short_8: FT3AHLXP

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/FT3AHLXPWJSSVYVZFDNUWCJWFY \
  | 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: 2cf603aeefb2652ae2b928db4b09362e33c4cdbb8afe45dfb596ae403396057d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369b776c2c477dd43df8b5d6a4ba84aa4081a7d8d47028dfd21d3a3921d0e26b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-30T18:17:33Z",
    "title_canon_sha256": "b2428b7b6808df2124f11e90e05a104c43e6f2f6c23789095f0b916e23c9eca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09046",
    "kind": "arxiv",
    "version": 1
  }
}