Pith Number

pith:34MB2EY5

pith:2021:34MB2EY5B3BIUM4ZPQ5LO3I7YZ

not attested not anchored not stored refs pending

Hawking-Page Phase Transition of the four-dimensional de-Sitter Spacetime with non-linear source

Huai-Fan Li, Li-Chun Zhang, Yun-Zhi Du

arxiv:2106.06675 v1 · 2021-06-12 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34MB2EY5B3BIUM4ZPQ5LO3I7YZ}

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	2026-07-05T04:24:34.754939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df181d131d0ec28a33997c3ab76d1fc64dd1eaa715a2e4aa152e43f469e3cc40

Aliases

arxiv: 2106.06675 · arxiv_version: 2106.06675v1 · doi: 10.48550/arxiv.2106.06675 · pith_short_12: 34MB2EY5B3BI · pith_short_16: 34MB2EY5B3BIUM4Z · pith_short_8: 34MB2EY5

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/34MB2EY5B3BIUM4ZPQ5LO3I7YZ \
  | 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: df181d131d0ec28a33997c3ab76d1fc64dd1eaa715a2e4aa152e43f469e3cc40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0042f9544c8f4adb80fa9c0d7cee93c9b9b467988d73fb77dd5927a2395496cc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-06-12T03:28:13Z",
    "title_canon_sha256": "40352a3ed922c07a97b647740b4eaad388c589d769742f58248aa87f00c5a0d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.06675",
    "kind": "arxiv",
    "version": 1
  }
}