Pith Number

pith:CETQXYQ4

pith:2011:CETQXYQ4J7M5AKIS6OP22YPJWP

not attested not anchored not stored refs pending

Effect of Vacuum Energy on Evolution of Primordial Black Holes in Einstein Gravity

Bibekananda Nayak, Mubasher Jamil

arxiv:1107.2025 v1 · 2011-07-11 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CETQXYQ4J7M5AKIS6OP22YPJWP}

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	2026-05-18T04:01:01.942141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11270be21c4fd9d02912f39fad61e9b3e3fd8163417c6db6a34944a6ce80212b

Aliases

arxiv: 1107.2025 · arxiv_version: 1107.2025v1 · doi: 10.48550/arxiv.1107.2025 · pith_short_12: CETQXYQ4J7M5 · pith_short_16: CETQXYQ4J7M5AKIS · pith_short_8: CETQXYQ4

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/CETQXYQ4J7M5AKIS6OP22YPJWP \
  | 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: 11270be21c4fd9d02912f39fad61e9b3e3fd8163417c6db6a34944a6ce80212b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86a8a28d028ff168b25ac01f9fc739a5e984efc5a8f9a7f927cd38448e12b635",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-11T13:34:12Z",
    "title_canon_sha256": "5e28f7671503ccc607ad8eb7a7750dfe17e07c6fec1b37d93e5ce5715009d8f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2025",
    "kind": "arxiv",
    "version": 1
  }
}