Pith Number

pith:SD5W7XR4

pith:2025:SD5W7XR4MBUOCXMLWQYFKROG5U

not attested not anchored not stored refs pending

`Translation invariant' black hole: autoparallels and complete integrability

Jens Boos

arxiv:2506.02301 v1 · 2025-06-02 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SD5W7XR4MBUOCXMLWQYFKROG5U}

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	2026-07-05T11:14:35.986239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90fb6fde3c6068e15d8bb4305545c6ed0b447f137a43d1b72060151cfdfb1b4b

Aliases

arxiv: 2506.02301 · arxiv_version: 2506.02301v1 · doi: 10.48550/arxiv.2506.02301 · pith_short_12: SD5W7XR4MBUO · pith_short_16: SD5W7XR4MBUOCXML · pith_short_8: SD5W7XR4

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/SD5W7XR4MBUOCXMLWQYFKROG5U \
  | 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: 90fb6fde3c6068e15d8bb4305545c6ed0b447f137a43d1b72060151cfdfb1b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb14409637d7ec05799c0f2c4e8d7875123299c1cda9c3adb9eb371d313d151",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-02T22:39:57Z",
    "title_canon_sha256": "134d46299f00f004c1f3b11aa25b93ca83d0fe00c776ac82b223fb43ce8beccb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02301",
    "kind": "arxiv",
    "version": 1
  }
}