Pith Number

pith:A5SHOYFA

pith:2011:A5SHOYFANP7F375BXZ2ZF7AUNU

not attested not anchored not stored refs pending

Convergence of Perturbations for a Big Bounce in Loop Quantum Cosmology

Jian-Yang Zhu, Yu Li

arxiv:1102.2694 v2 · 2011-02-14 · 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{A5SHOYFANP7F375BXZ2ZF7AUNU}

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	2026-05-18T04:24:43.587836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07647760a06bfe5dffa1be7592fc146d2f9a53104784f919e658e7e4cb3ae10a

Aliases

arxiv: 1102.2694 · arxiv_version: 1102.2694v2 · doi: 10.48550/arxiv.1102.2694 · pith_short_12: A5SHOYFANP7F · pith_short_16: A5SHOYFANP7F375B · pith_short_8: A5SHOYFA

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/A5SHOYFANP7F375BXZ2ZF7AUNU \
  | 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: 07647760a06bfe5dffa1be7592fc146d2f9a53104784f919e658e7e4cb3ae10a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d41d68d787e0589618592b47e9b87d591304b546a6b1721858f4b1ef4ff4e33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-02-14T08:21:49Z",
    "title_canon_sha256": "713445d7492357114f7a6df33f97d131f24d8806b2afb950e00144755bd33a5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2694",
    "kind": "arxiv",
    "version": 2
  }
}