Pith Number

pith:X2EZAQ6W

pith:2026:X2EZAQ6W332W26XF3XB2NQFGT2

not attested not anchored not stored refs pending

Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks

Alexander George Stapleton, Edward Hirst, Tancredi Schettini Gherardini

arxiv:2607.05489 v1 · 2026-07-06 · gr-qc · cs.LG · 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{X2EZAQ6W332W26XF3XB2NQFGT2}

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	2026-07-08T01:18:11.686135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be899043d6def56d7ae5ddc3a6c0a69e9a38dffefbe53b5431b3f26ecfc1b5e5

Aliases

arxiv: 2607.05489 · arxiv_version: 2607.05489v1 · doi: 10.48550/arxiv.2607.05489 · pith_short_12: X2EZAQ6W332W · pith_short_16: X2EZAQ6W332W26XF · pith_short_8: X2EZAQ6W

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/X2EZAQ6W332W26XF3XB2NQFGT2 \
  | 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: be899043d6def56d7ae5ddc3a6c0a69e9a38dffefbe53b5431b3f26ecfc1b5e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d9ae46296e19c56fbd2709fc7c1fea884866d35b66ddf98d00df8e2d13158f8",
    "cross_cats_sorted": [
      "cs.LG",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-06T18:00:00Z",
    "title_canon_sha256": "f88c4445092243c248cc568bf85a49d9450b90a0e370286b352b5ae93ab75656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05489",
    "kind": "arxiv",
    "version": 1
  }
}