Pith Number

pith:ABM6VLTY

pith:2017:ABM6VLTYBXBQMBMOOKKN7G3ICK

not attested not anchored not stored refs pending

Hawking's area theorem with a weaker energy condition

Martin Lesourd

arxiv:1711.06480 v3 · 2017-11-17 · 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{ABM6VLTYBXBQMBMOOKKN7G3ICK}

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.

Cited by

1 paper in Pith

Hawking area law in quantum gravity

Receipt and verification

First computed	2026-05-18T00:16:02.981529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0059eaae780dc306058e7294df9b6812aaa4ad6188ff059bddf6db669a400706

Aliases

arxiv: 1711.06480 · arxiv_version: 1711.06480v3 · doi: 10.48550/arxiv.1711.06480 · pith_short_12: ABM6VLTYBXBQ · pith_short_16: ABM6VLTYBXBQMBMO · pith_short_8: ABM6VLTY

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/ABM6VLTYBXBQMBMOOKKN7G3ICK \
  | 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: 0059eaae780dc306058e7294df9b6812aaa4ad6188ff059bddf6db669a400706

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4262a75bb595657140e88c3cce0978c9e66635979a05525673281a24ce3934e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-11-17T10:12:52Z",
    "title_canon_sha256": "f7b8bc0283ba20a224abb60f9cd284da6c01c708c69d704ad7cb3ac1034f3300"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06480",
    "kind": "arxiv",
    "version": 3
  }
}