Pith Number

pith:T7KASHQJ

pith:2013:T7KASHQJAPIPUYIBPZOF7NPN4K

not attested not anchored not stored refs pending

On Gravitational Entropy of de Sitter Universe

E. P. Spaniol, S. C. Ulhoa

arxiv:1312.1367 v1 · 2013-12-04 · 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{T7KASHQJAPIPUYIBPZOF7NPN4K}

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	2026-05-18T01:10:54.790123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fd4091e0903d0fa61017e5c5fb5ede280a9f0f5253897f53fedcbe51d2dde90

Aliases

arxiv: 1312.1367 · arxiv_version: 1312.1367v1 · doi: 10.48550/arxiv.1312.1367 · pith_short_12: T7KASHQJAPIP · pith_short_16: T7KASHQJAPIPUYIB · pith_short_8: T7KASHQJ

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/T7KASHQJAPIPUYIBPZOF7NPN4K \
  | 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: 9fd4091e0903d0fa61017e5c5fb5ede280a9f0f5253897f53fedcbe51d2dde90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e92588df0d4608343191e56c934260ee749a4e44f2c5bf48b0257d7aa002a83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-12-04T22:08:55Z",
    "title_canon_sha256": "d1aa2ea5d4971d1724566749ba607e68a01810a5616f72979ffa6b32d53bbf5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1367",
    "kind": "arxiv",
    "version": 1
  }
}