Pith Number

pith:AK2FI7JT

pith:2012:AK2FI7JTEUC4B2ALSBCE27UTEB

not attested not anchored not stored refs pending

Dynamical apparent horizons in inhomogeneous Brans-Dicke universes

Stefano Liberati, Thomas P. Sotiriou, Valerio Faraoni, Vincenzo Vitagliano

arxiv:1205.3945 v2 · 2012-05-17 · 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{AK2FI7JTEUC4B2ALSBCE27UTEB}

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	2026-05-18T03:44:47.052184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02b4547d332505c0e80b90444d7e932056c4dd7652ec3de1e80d1d43c02f92b4

Aliases

arxiv: 1205.3945 · arxiv_version: 1205.3945v2 · doi: 10.48550/arxiv.1205.3945 · pith_short_12: AK2FI7JTEUC4 · pith_short_16: AK2FI7JTEUC4B2AL · pith_short_8: AK2FI7JT

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/AK2FI7JTEUC4B2ALSBCE27UTEB \
  | 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: 02b4547d332505c0e80b90444d7e932056c4dd7652ec3de1e80d1d43c02f92b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f374255f1ef73b5944ab752930d55f8b6694bf75ec6f157a57612d74efc065c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-05-17T14:52:25Z",
    "title_canon_sha256": "3810bf314dce15b10b43f9d94106921b31d4d4a7ad68ae6fdbd27260ea0f8b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3945",
    "kind": "arxiv",
    "version": 2
  }
}