Pith Number

pith:KEZQ6Z5Q

pith:2015:KEZQ6Z5QWMN2RSZC7CYEW75O2Q

not attested not anchored not stored refs pending

Proof of the Mass-Angular Momentum Inequality for Bi-Axisymmetric Black Holes With Spherical Topology

Aghil Alaee, Hari Kunduri, Marcus Khuri

arxiv:1510.06974 v2 · 2015-10-23 · gr-qc · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEZQ6Z5QWMN2RSZC7CYEW75O2Q}

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	2026-05-18T00:52:08.582283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51330f67b0b31ba8cb22f8b04b7faed40f89246f4621e72ab16ec55bdebca96b

Aliases

arxiv: 1510.06974 · arxiv_version: 1510.06974v2 · doi: 10.48550/arxiv.1510.06974 · pith_short_12: KEZQ6Z5QWMN2 · pith_short_16: KEZQ6Z5QWMN2RSZC · pith_short_8: KEZQ6Z5Q

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/KEZQ6Z5QWMN2RSZC7CYEW75O2Q \
  | 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: 51330f67b0b31ba8cb22f8b04b7faed40f89246f4621e72ab16ec55bdebca96b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44601295be94a57eaa00296de2d26ed64f117cc5802edf056d49f8cae3a97905",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-10-23T15:36:44Z",
    "title_canon_sha256": "a182cc8454746ab5d443c75f1b57e00f90479cf3534248aa3caf6e95e9d92d54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06974",
    "kind": "arxiv",
    "version": 2
  }
}