Pith Number

pith:NPGP7DDF

pith:2014:NPGP7DDFUSNQRVSL33VPOGMLMO

not attested not anchored not stored refs pending

Bekenstein-Hawking entropy in expanding universes from black hole theorems

Stefano Viaggiu

arxiv:1405.6816 v1 · 2014-05-27 · hep-th · astro-ph.CO · 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{NPGP7DDFUSNQRVSL33VPOGMLMO}

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	2026-05-18T02:50:59.343584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bccff8c65a49b08d64bdeeaf7198b63a74144ee44467c0512648d4882d05a9c

Aliases

arxiv: 1405.6816 · arxiv_version: 1405.6816v1 · doi: 10.48550/arxiv.1405.6816 · pith_short_12: NPGP7DDFUSNQ · pith_short_16: NPGP7DDFUSNQRVSL · pith_short_8: NPGP7DDF

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/NPGP7DDFUSNQRVSL33VPOGMLMO \
  | 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: 6bccff8c65a49b08d64bdeeaf7198b63a74144ee44467c0512648d4882d05a9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b10c228f5c4ad4f91b5a492490d0ddc832765db298493450abd5d8f14521642",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-05-27T07:04:28Z",
    "title_canon_sha256": "20e76efb4ccda4910532e13171a6d0f25597c9362e9d0a220c0b61194996c137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6816",
    "kind": "arxiv",
    "version": 1
  }
}