Pith Number

pith:VFGRW4X3

pith:2016:VFGRW4X3JOXBS66LTQKCZU3UNK

not attested not anchored not stored refs pending

Horizon instability of extremal Reissner-Nordstr\"om black holes to charged perturbations

Peter Zimmerman

arxiv:1612.03172 v4 · 2016-12-09 · 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{VFGRW4X3JOXBS66LTQKCZU3UNK}

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.

Cited by

2 papers in Pith

Medicine show: A Calogero model with principal series states

Taming the Aretakis instability: extremal black holes with multi-degenerate horizons

Receipt and verification

First computed	2026-07-05T06:55:45.501010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a94d1b72fb4bae197bcb9c142cd3746a8d90c6797a59e5930c6d7cb3b30781cc

Aliases

arxiv: 1612.03172 · arxiv_version: 1612.03172v4 · doi: 10.48550/arxiv.1612.03172 · pith_short_12: VFGRW4X3JOXB · pith_short_16: VFGRW4X3JOXBS66L · pith_short_8: VFGRW4X3

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/VFGRW4X3JOXBS66LTQKCZU3UNK \
  | 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: a94d1b72fb4bae197bcb9c142cd3746a8d90c6797a59e5930c6d7cb3b30781cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08a73e446e41bae8d355562475fe59f8f19df5a3151924438684072293b1a180",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-12-09T21:00:00Z",
    "title_canon_sha256": "72ec000d25f097d4f29ef6bbf3e04306ea3735c87b944fbbd054b68454c13fee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03172",
    "kind": "arxiv",
    "version": 4
  }
}