Pith Number

pith:4F3J3TL2

pith:1997:4F3J3TL2RYP5VMA2GMTEIDMLVR

not attested not anchored not stored refs pending

Topological Black Holes -- Outside Looking In

R.B. Mann

arxiv:gr-qc/9709039 v1 · 1997-09-15 · 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{4F3J3TL2RYP5VMA2GMTEIDMLVR}

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

4 papers in Pith

Black Bounce via Gravitational Tension Screening Acting as an Analogue of Schwinger Corrections

Multicritical points of gravitational solitons and a black hole in four dimensions

Weyl double copy in Lifshitz spacetimes

Black hole chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-07-04T14:26:08.076321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1769dcd7a8e1fdab01a3326440d8bac75f7eee8e44f3db579b7e6898c0145fc

Aliases

arxiv: gr-qc/9709039 · arxiv_version: gr-qc/9709039v1 · doi: 10.48550/arxiv.gr-qc/9709039 · pith_short_12: 4F3J3TL2RYP5 · pith_short_16: 4F3J3TL2RYP5VMA2 · pith_short_8: 4F3J3TL2

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/4F3J3TL2RYP5VMA2GMTEIDMLVR \
  | 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: e1769dcd7a8e1fdab01a3326440d8bac75f7eee8e44f3db579b7e6898c0145fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1419bd19d6118f7810564f349723512d91c2f2d89be34c3515757d90df712d04",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-09-15T16:13:37Z",
    "title_canon_sha256": "e5d5591e870e043a63755fd3e1fb4d8731474b4c7ac51e550d4325c28537f804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9709039",
    "kind": "arxiv",
    "version": 1
  }
}