Pith Number

pith:P6XXEM3Q

pith:2011:P6XXEM3QLU5KFY6IEGGYVLRWG4

not attested not anchored not stored refs pending

Evolution of Primordial Black Holes in Loop Quantum Gravity

Bibekananda Nayak, Debabrata Dwivedee, Lambodar Prasad Singh, Mubasher Jamil

arxiv:1110.6350 v2 · 2011-10-28 · 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{P6XXEM3QLU5KFY6IEGGYVLRWG4}

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	2026-05-18T01:59:50.556269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7faf7233705d3aa2e3c8218d8aae36372554bebb194e5bf50465136fcd97bce3

Aliases

arxiv: 1110.6350 · arxiv_version: 1110.6350v2 · doi: 10.48550/arxiv.1110.6350 · pith_short_12: P6XXEM3QLU5K · pith_short_16: P6XXEM3QLU5KFY6I · pith_short_8: P6XXEM3Q

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/P6XXEM3QLU5KFY6IEGGYVLRWG4 \
  | 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: 7faf7233705d3aa2e3c8218d8aae36372554bebb194e5bf50465136fcd97bce3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5831db1688b77692566e3df5137407e79a9f5efc487b48602bb6d7088d33460",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-10-28T14:39:05Z",
    "title_canon_sha256": "d67fb723a4ff142abe8efec27262f853c3be274d970652d39bbbf3e979230861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6350",
    "kind": "arxiv",
    "version": 2
  }
}