Pith Number

pith:C4R2JT5E

pith:1999:C4R2JT5EYGIAZ3EUJNZU5TWXNJ

not attested not anchored not stored refs pending

Wave Functions for Quantum Black Hole Formation in Scalar Field Collapse

Dongsu Bak, Jae Hyung Yee, Kwang-Sup Soh, Sang Pyo Kim, Sung Ku Kim

arxiv:gr-qc/9907032 v3 · 1999-07-08 · 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{C4R2JT5EYGIAZ3EUJNZU5TWXNJ}

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	2026-07-04T16:13:52.949178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1723a4cfa4c1900cec944b734eced76a7cf1a58284c65435168621c3048e0735

Aliases

arxiv: gr-qc/9907032 · arxiv_version: gr-qc/9907032v3 · doi: 10.48550/arxiv.gr-qc/9907032 · pith_short_12: C4R2JT5EYGIA · pith_short_16: C4R2JT5EYGIAZ3EU · pith_short_8: C4R2JT5E

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/C4R2JT5EYGIAZ3EUJNZU5TWXNJ \
  | 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: 1723a4cfa4c1900cec944b734eced76a7cf1a58284c65435168621c3048e0735

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2111d34fc747d77ea28daa15fe0657b1afd0c9ed6c0579e563288c93a465710",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-07-08T03:17:44Z",
    "title_canon_sha256": "76eac82ad9730ba8647fd24f04c28c135722c1e026fc03611de3dc8ba00c670e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9907032",
    "kind": "arxiv",
    "version": 3
  }
}