Pith Number

pith:V23KGO4T

pith:2012:V23KGO4TAIYBKCMW5WG346Z6I7

not attested not anchored not stored refs pending

Evolution of Primordial Black Hole Mass Spectrum in Brans-Dicke Theory

Bibekananda Nayak, Debabrata Dwivedee, Lambodar Prasad Singh

arxiv:1208.5115 v2 · 2012-08-25 · 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{V23KGO4TAIYBKCMW5WG346Z6I7}

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	2026-05-18T03:27:23.055420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeb6a33b930230150996ed8dbe7b3e47cf70f7a5c7099d58056c8de9ab16ec05

Aliases

arxiv: 1208.5115 · arxiv_version: 1208.5115v2 · doi: 10.48550/arxiv.1208.5115 · pith_short_12: V23KGO4TAIYB · pith_short_16: V23KGO4TAIYBKCMW · pith_short_8: V23KGO4T

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/V23KGO4TAIYBKCMW5WG346Z6I7 \
  | 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: aeb6a33b930230150996ed8dbe7b3e47cf70f7a5c7099d58056c8de9ab16ec05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a23773f11c408c967e589799176d90346c6fc34cd8d6d1b6de22e5bc8b9c405",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-25T08:20:35Z",
    "title_canon_sha256": "650872db261fb9900b3a0e87878b6e682eee775da800b7d64a417289ffc9f2fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5115",
    "kind": "arxiv",
    "version": 2
  }
}