Pith Number

pith:HVIIUWTT

pith:2010:HVIIUWTTWNBO3EOQGZYYSNUVV4

not attested not anchored not stored refs pending

Black hole phase transitions in Ho\v{r}ava-Lifshitz gravity

Kai-Nan Shao, Qiao-Jun Cao, Yi-Xin Chen

arxiv:1010.5044 v2 · 2010-10-25 · hep-th · 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{HVIIUWTTWNBO3EOQGZYYSNUVV4}

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	2026-05-18T04:26:32.915521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d508a5a73b342ed91d03671893695af36778e0eed89f122ea9f81185548195d

Aliases

arxiv: 1010.5044 · arxiv_version: 1010.5044v2 · doi: 10.48550/arxiv.1010.5044 · pith_short_12: HVIIUWTTWNBO · pith_short_16: HVIIUWTTWNBO3EOQ · pith_short_8: HVIIUWTT

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/HVIIUWTTWNBO3EOQGZYYSNUVV4 \
  | 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: 3d508a5a73b342ed91d03671893695af36778e0eed89f122ea9f81185548195d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75abca61e84c99db8bdeae6df21e2899131583a26ca374d4da35eb073c7b06dc",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-10-25T06:33:15Z",
    "title_canon_sha256": "6a9dea82eab1f949a3b12fbbe25db58787c4793cbf7d57ca988c2762cea681a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5044",
    "kind": "arxiv",
    "version": 2
  }
}