Pith Number

pith:76Z7GMCG

pith:2008:76Z7GMCGXWPS2P4MTQVLS2DDXR

not attested not anchored not stored refs pending

Spherically Symmetric Black Hole Formation in Painlev\'e-Gullstrand Coordinates

G. Kunstatter, J. Ziprick

arxiv:0812.0993 v1 · 2008-12-04 · 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{76Z7GMCGXWPS2P4MTQVLS2DDXR}

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	2026-07-04T15:47:01.082428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffb3f33046bd9f2d3f8c9c2ab96863bc42cff506c64e2811a497f99f1f6caaac

Aliases

arxiv: 0812.0993 · arxiv_version: 0812.0993v1 · doi: 10.48550/arxiv.0812.0993 · pith_short_12: 76Z7GMCGXWPS · pith_short_16: 76Z7GMCGXWPS2P4M · pith_short_8: 76Z7GMCG

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/76Z7GMCGXWPS2P4MTQVLS2DDXR \
  | 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: ffb3f33046bd9f2d3f8c9c2ab96863bc42cff506c64e2811a497f99f1f6caaac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45b4642a1ebfdd3108cc5acd89b077c52834e6363cde74e2135dda636dac5b12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-12-04T17:47:22Z",
    "title_canon_sha256": "c2fcd90835436b36d2c1732015e2346868187cc02327deb952b4055dc9f1410f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0993",
    "kind": "arxiv",
    "version": 1
  }
}