Pith Number

pith:FUT2BRF3

pith:2010:FUT2BRF3LWWFIH4TXFQXFYRQFC

not attested not anchored not stored refs pending

Ultimately Schwarzschildean Spacetimes and the Black Hole Stability Problem

Gustav Holzegel

arxiv:1010.3216 v1 · 2010-10-15 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUT2BRF3LWWFIH4TXFQXFYRQFC}

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	2026-05-18T04:39:17.377375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d27a0c4bb5dac541f93b96172e23028af89e5dad134792eef54bab3ad28cfca

Aliases

arxiv: 1010.3216 · arxiv_version: 1010.3216v1 · doi: 10.48550/arxiv.1010.3216 · pith_short_12: FUT2BRF3LWWF · pith_short_16: FUT2BRF3LWWFIH4T · pith_short_8: FUT2BRF3

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/FUT2BRF3LWWFIH4TXFQXFYRQFC \
  | 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: 2d27a0c4bb5dac541f93b96172e23028af89e5dad134792eef54bab3ad28cfca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf80c7e6396ef1211e03f66900e9346c26423f7a523e3782e591dc3450839c54",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-15T16:45:12Z",
    "title_canon_sha256": "4957958ab392fa96c38a8b11a2ca0de8549333e2e845ad0ba08d8cc848cdaa45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3216",
    "kind": "arxiv",
    "version": 1
  }
}