Pith Number

pith:BCFB4ZAT

pith:2011:BCFB4ZAT4ZUELF6NCZKCS5HXPB

not attested not anchored not stored refs pending

Stability analysis of an autonomous system in loop quantum cosmology

Jian-Yang Zhu, Kui Xiao

arxiv:1102.2695 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{BCFB4ZAT4ZUELF6NCZKCS5HXPB}

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	2026-05-18T04:23:45.288400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

088a1e6413e6684597cd16542974f77870074df7d71eac5fb49bd0544663785a

Aliases

arxiv: 1102.2695 · arxiv_version: 1102.2695v2 · doi: 10.48550/arxiv.1102.2695 · pith_short_12: BCFB4ZAT4ZUE · pith_short_16: BCFB4ZAT4ZUELF6N · pith_short_8: BCFB4ZAT

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/BCFB4ZAT4ZUELF6NCZKCS5HXPB \
  | 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: 088a1e6413e6684597cd16542974f77870074df7d71eac5fb49bd0544663785a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9333f28f8fb9dcde24a796b61840f4481aacdbbfcc51dfe0f59c3180ed59d292",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-02-14T08:32:34Z",
    "title_canon_sha256": "55466869f08bf9dc136fb0ed5a8ee2e24bc93d1789fbdd5eadade03f91e01ba7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2695",
    "kind": "arxiv",
    "version": 2
  }
}