Pith Number

pith:N77U6X7C

pith:2019:N77U6X7C3PTMYVB46GU6L2PQ7P

not attested not anchored not stored refs pending

Universal bounds on the size of a black hole

H. Lu, Run-Qiu Yang

arxiv:2001.00027 v3 · 2019-12-31 · gr-qc · 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{N77U6X7C3PTMYVB46GU6L2PQ7P}

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	2026-07-05T01:43:38.741844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fff4f5fe2dbe6cc543cf1a9e5e9f0fbfbbd4c780bdb9533572ba71cdd8f233b

Aliases

arxiv: 2001.00027 · arxiv_version: 2001.00027v3 · doi: 10.48550/arxiv.2001.00027 · pith_short_12: N77U6X7C3PTM · pith_short_16: N77U6X7C3PTMYVB4 · pith_short_8: N77U6X7C

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/N77U6X7C3PTMYVB46GU6L2PQ7P \
  | 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: 6fff4f5fe2dbe6cc543cf1a9e5e9f0fbfbbd4c780bdb9533572ba71cdd8f233b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b3e7520a034028f6d6cb50ba4e5eab13a2acb13b5ac98ff4e636b0917f28d20",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-12-31T19:00:03Z",
    "title_canon_sha256": "a1591cda7439668a22b70e9f8f8bde1ee9fe113b1ad0549ddec128011f4fbd71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.00027",
    "kind": "arxiv",
    "version": 3
  }
}