Pith Number

pith:MHTK35IE

pith:2010:MHTK35IE7ENPZ7XT34XP57EAH7

not attested not anchored not stored refs pending

Thermodynamics properties of the dark energy in loop quantum cosmology

Jian-Yang Zhu, Kui Xiao

arxiv:1001.0306 v2 · 2010-01-02 · 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{MHTK35IE7ENPZ7XT34XP57EAH7}

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	2026-05-18T04:26:31.864647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61e6adf504f91afcfef3df2efefc803ffbd2e0d9c2b61d7fd12a432692796106

Aliases

arxiv: 1001.0306 · arxiv_version: 1001.0306v2 · doi: 10.48550/arxiv.1001.0306 · pith_short_12: MHTK35IE7ENP · pith_short_16: MHTK35IE7ENPZ7XT · pith_short_8: MHTK35IE

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/MHTK35IE7ENPZ7XT34XP57EAH7 \
  | 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: 61e6adf504f91afcfef3df2efefc803ffbd2e0d9c2b61d7fd12a432692796106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e95da242799635723c78a9d63929a8b542946b984ce285ce1b7b6d0bf032dfcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-01-02T14:37:06Z",
    "title_canon_sha256": "3ff84dae5800a332a865c370440d393e0dc01a38932c8e9f907a2f8412e04134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0306",
    "kind": "arxiv",
    "version": 2
  }
}