Pith Number

pith:XASODQ2Q

pith:2013:XASODQ2Q33DA5F35VTOWQAAX4Q

not attested not anchored not stored refs pending

Dynamical behaviors of FRW Universe containing a positive/negative potential scalar field in loop quantum cosmology

Jian-Yang Zhu, Kui Xiao, Xiao Liu

arxiv:1302.1245 v1 · 2013-02-06 · 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{XASODQ2Q33DA5F35VTOWQAAX4Q}

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	2026-05-18T03:00:37.415482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b824e1c350dec60e977dacdd680017e4107eff2344ca08d32e67609550864274

Aliases

arxiv: 1302.1245 · arxiv_version: 1302.1245v1 · doi: 10.48550/arxiv.1302.1245 · pith_short_12: XASODQ2Q33DA · pith_short_16: XASODQ2Q33DA5F35 · pith_short_8: XASODQ2Q

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/XASODQ2Q33DA5F35VTOWQAAX4Q \
  | 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: b824e1c350dec60e977dacdd680017e4107eff2344ca08d32e67609550864274

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91f74a26c2f8db67aa802a58e95b3f632851a7745f51f78b04fc9b72abd7a1a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-02-06T02:16:04Z",
    "title_canon_sha256": "3ad6b20ffac1dfe42851d3f395c092dd014da888b215842217270e68c22085d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1245",
    "kind": "arxiv",
    "version": 1
  }
}