Pith Number

pith:HNDXZLYI

pith:2018:HNDXZLYI3HBZNBYRWDOFWM7MN7

not attested not anchored not stored refs pending

Divergence equations and uniqueness theorem of static black holes

Keisuke Izumi, Masato Nozawa, Sumio Yamada, Tetsuya Shiromizu

arxiv:1805.11385 v2 · 2018-05-29 · gr-qc · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNDXZLYI3HBZNBYRWDOFWM7MN7}

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	2026-05-18T00:08:41.485074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b477caf08d9c3968711b0dc5b33ec6fc5a3476c696e782807d0f829ef5c70df

Aliases

arxiv: 1805.11385 · arxiv_version: 1805.11385v2 · doi: 10.48550/arxiv.1805.11385 · pith_short_12: HNDXZLYI3HBZ · pith_short_16: HNDXZLYI3HBZNBYR · pith_short_8: HNDXZLYI

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/HNDXZLYI3HBZNBYRWDOFWM7MN7 \
  | 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: 3b477caf08d9c3968711b0dc5b33ec6fc5a3476c696e782807d0f829ef5c70df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1fab2ce4556f20248bea0375faf04c5d58ae225d4bfe961ffc15718c461d60f",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-05-29T12:26:11Z",
    "title_canon_sha256": "0697bb714eed6ba7314fac8f89bc484bbd72d16be8566f2586f4367157466688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11385",
    "kind": "arxiv",
    "version": 2
  }
}