Pith Number

pith:3AL5EOJ3

pith:1998:3AL5EOJ3IZ2LO7SXTNS6TEVRYP

not attested not anchored not stored refs pending

Multiply Unstable Black Hole Critical Solutions

Steven L. Liebling

arxiv:gr-qc/9805043 v1 · 1998-05-12 · 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{3AL5EOJ3IZ2LO7SXTNS6TEVRYP}

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

Unveiling horizons in quantum critical collapse

Receipt and verification

First computed	2026-05-18T04:35:33.742769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d817d2393b4674b77e579b65e992b1c3edbf9233c421c24991cd0488edfb525c

Aliases

arxiv: gr-qc/9805043 · arxiv_version: gr-qc/9805043v1 · doi: 10.48550/arxiv.gr-qc/9805043 · pith_short_12: 3AL5EOJ3IZ2L · pith_short_16: 3AL5EOJ3IZ2LO7SX · pith_short_8: 3AL5EOJ3

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/3AL5EOJ3IZ2LO7SXTNS6TEVRYP \
  | 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: d817d2393b4674b77e579b65e992b1c3edbf9233c421c24991cd0488edfb525c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2300ce57d910eee38f22f8eda3be8567e3a01c384ec7513d45c945d4b5ec4fa3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-05-12T23:34:35Z",
    "title_canon_sha256": "4462d02a3910f07048913f9f7bf40fd835c332c350f7c0f2edd918e85ae7fe2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9805043",
    "kind": "arxiv",
    "version": 1
  }
}