Pith Number

pith:PBGD73UJ

pith:2024:PBGD73UJYGW4GFI4S6LXO2RVBF

not attested not anchored not stored refs pending

Gravitational entanglement witness through Einstein ring image

Yasusada Nambu, Youka Kaku

arxiv:2411.12997 v2 · 2024-11-20 · gr-qc · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBGD73UJYGW4GFI4S6LXO2RVBF}

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	2026-07-05T10:23:58.074002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

784c3fee89c1adc3151c9797776a350956666eb9a3ffa815004b0a580d55b49d

Aliases

arxiv: 2411.12997 · arxiv_version: 2411.12997v2 · doi: 10.48550/arxiv.2411.12997 · pith_short_12: PBGD73UJYGW4 · pith_short_16: PBGD73UJYGW4GFI4 · pith_short_8: PBGD73UJ

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/PBGD73UJYGW4GFI4S6LXO2RVBF \
  | 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: 784c3fee89c1adc3151c9797776a350956666eb9a3ffa815004b0a580d55b49d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30e5b249020a591ce9e324bb3b1bf4f5ed47f993d1fc9316a722f9624f7dfbaa",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-11-20T02:50:45Z",
    "title_canon_sha256": "2fa76d501b78e2fd24b3f5e8f09d71c7e9f4f333a879a18b55578fe30748e396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.12997",
    "kind": "arxiv",
    "version": 2
  }
}