Pith Number

pith:RKTOCKJ7

pith:2010:RKTOCKJ7JTHZEYAANZBY2NYL24

not attested not anchored not stored refs pending

Particles with negative energies in black holes

A. A. Grib, Yu. V. Pavlov

arxiv:1008.3657 v2 · 2010-08-21 · 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{RKTOCKJ7JTHZEYAANZBY2NYL24}

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	2026-05-18T04:15:16.821657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aa6e1293f4ccf9260006e438d370bd7211245b112ddff03189e91d9515d85f1

Aliases

arxiv: 1008.3657 · arxiv_version: 1008.3657v2 · doi: 10.48550/arxiv.1008.3657 · pith_short_12: RKTOCKJ7JTHZ · pith_short_16: RKTOCKJ7JTHZEYAA · pith_short_8: RKTOCKJ7

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/RKTOCKJ7JTHZEYAANZBY2NYL24 \
  | 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: 8aa6e1293f4ccf9260006e438d370bd7211245b112ddff03189e91d9515d85f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48f500c3aef44fa05ecfd9c104cf0c68c3434a7bc0795e476c6dc34f2adc8578",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-08-21T18:56:31Z",
    "title_canon_sha256": "d29264f2b5b8a6f23fa382be431f4c0bc151556e86dd422b5b1b060a9d3307ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3657",
    "kind": "arxiv",
    "version": 2
  }
}