Pith Number

pith:BPYBIVIK

pith:2003:BPYBIVIKRLEDQRRLADK5TKVFLC

not attested not anchored not stored refs pending

Spacetime Embedding Diagrams for Spherically Symmetric Black Holes

Donald Marolf, John T. Giblin Jr, Robert H. Garvey

arxiv:gr-qc/0305102 v2 · 2003-05-27 · 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{BPYBIVIKRLEDQRRLADK5TKVFLC}

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	2026-07-04T16:40:12.992072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf014550a8ac838462b00d5d9aaa558b92cd719ffd614e0f74267453b536757

Aliases

arxiv: gr-qc/0305102 · arxiv_version: gr-qc/0305102v2 · doi: 10.48550/arxiv.gr-qc/0305102 · pith_short_12: BPYBIVIKRLED · pith_short_16: BPYBIVIKRLEDQRRL · pith_short_8: BPYBIVIK

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/BPYBIVIKRLEDQRRLADK5TKVFLC \
  | 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: 0bf014550a8ac838462b00d5d9aaa558b92cd719ffd614e0f74267453b536757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "925e3781827a2197bd915fe634ae5fef31e47f1c69d379c16145905b16c636c5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-05-27T20:38:58Z",
    "title_canon_sha256": "1606f4880d8e01fc9e2b721cb230f5c936412ac473465438abb9c0ed6e236226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0305102",
    "kind": "arxiv",
    "version": 2
  }
}