Pith Number

pith:H7YWEXHU

pith:2013:H7YWEXHUSDAVXMWXJ4GLQJG5NG

not attested not anchored not stored refs pending

On the total mass of closed universes with a positive cosmological constant

L\'aszl\'o B Szabados

arxiv:1306.3863 v2 · 2013-06-17 · 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{H7YWEXHUSDAVXMWXJ4GLQJG5NG}

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	2026-05-18T03:15:20.501449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ff1625cf490c15bb2d74f0cb824dd69bd0bb44d8b28d2f1bea31907064bdc0d

Aliases

arxiv: 1306.3863 · arxiv_version: 1306.3863v2 · doi: 10.48550/arxiv.1306.3863 · pith_short_12: H7YWEXHUSDAV · pith_short_16: H7YWEXHUSDAVXMWX · pith_short_8: H7YWEXHU

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/H7YWEXHUSDAVXMWXJ4GLQJG5NG \
  | 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: 3ff1625cf490c15bb2d74f0cb824dd69bd0bb44d8b28d2f1bea31907064bdc0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9141396fe3061136c7af3a80b4975f397bd4f35f3aaa74c3d06a610b30b4f6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-06-17T14:01:15Z",
    "title_canon_sha256": "802fda35e5e41e8babff8565661db42e8f4f2345d4ce02cf6a34ae16689635f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3863",
    "kind": "arxiv",
    "version": 2
  }
}