Pith Number

pith:JS2X7HBK

pith:2020:JS2X7HBKAM5DFLI4RFCWIQSQCJ

not attested not anchored not stored refs pending

Hawking--Page phase transitions in four-dimensional Einstein--Gauss--Bonnet gravity

Bing-Yu Su, Nan Li, Yuan-Yuan Wang

arxiv:2008.01985 v2 · 2020-08-05 · 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{JS2X7HBKAM5DFLI4RFCWIQSQCJ}

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	2026-07-05T02:05:26.852031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cb57f9c2a033a32ad1c8945644250124abe1c8da208d54b783d2a9680a591ad

Aliases

arxiv: 2008.01985 · arxiv_version: 2008.01985v2 · doi: 10.48550/arxiv.2008.01985 · pith_short_12: JS2X7HBKAM5D · pith_short_16: JS2X7HBKAM5DFLI4 · pith_short_8: JS2X7HBK

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/JS2X7HBKAM5DFLI4RFCWIQSQCJ \
  | 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: 4cb57f9c2a033a32ad1c8945644250124abe1c8da208d54b783d2a9680a591ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1a8de76a00563f65d07f7770c15082fbaa74b882e2fdd14c16761d647831acb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-08-05T08:13:15Z",
    "title_canon_sha256": "3d217199c93bdcb053423143290c4f159f13cc431f85f6a3d5ec7f53b425ca7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.01985",
    "kind": "arxiv",
    "version": 2
  }
}