Pith Number

pith:EJI5L3ZC

pith:2014:EJI5L3ZCB75MJEMDDLIUKCLVLE

not attested not anchored not stored refs pending

Proof of the Riemannian Penrose Inequality with Charge for Multiple Black Holes

Gilbert Weinstein, Marcus Khuri, Sumio Yamada

arxiv:1409.3271 v2 · 2014-09-10 · gr-qc · math-ph · math.DG · math.MP

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

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	2026-05-18T00:31:05.764631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2251d5ef220ffac491831ad1450975593db6b2846a3198eb0a16e7b9a9215dd8

Aliases

arxiv: 1409.3271 · arxiv_version: 1409.3271v2 · doi: 10.48550/arxiv.1409.3271 · pith_short_12: EJI5L3ZCB75M · pith_short_16: EJI5L3ZCB75MJEMD · pith_short_8: EJI5L3ZC

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/EJI5L3ZCB75MJEMDDLIUKCLVLE \
  | 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: 2251d5ef220ffac491831ad1450975593db6b2846a3198eb0a16e7b9a9215dd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5233c81173b17a11531698fe30d9100979e5770bea263df2e02f3163209eb38d",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-09-10T22:49:52Z",
    "title_canon_sha256": "e40d98abda852d7cc1fdff6334f4bbe38ba00fbb47aee72590d47e1549f8886b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3271",
    "kind": "arxiv",
    "version": 2
  }
}