Pith Number

pith:3OQIL46E

pith:1996:3OQIL46ET4I2JNCVYC4NY4ADAI

not attested not anchored not stored refs pending

Higher Dimensional Self-similar Spherical Symmetric Scalar Field Collapse and Critical Phenomena in Black Hole Formation

Jiro Soda (Theoretical Physics Institute, Kouichirou Hirata (GSHES, Kyoto University), University of Alberta)

arxiv:gr-qc/9605023 v1 · 1996-05-11 · 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{3OQIL46ET4I2JNCVYC4NY4ADAI}

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	2026-05-18T04:35:34.157472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dba085f3c49f11a4b455c0b8dc70030230a8853a3e2c754d7e6ac76c15d6faa4

Aliases

arxiv: gr-qc/9605023 · arxiv_version: gr-qc/9605023v1 · doi: 10.48550/arxiv.gr-qc/9605023 · pith_short_12: 3OQIL46ET4I2 · pith_short_16: 3OQIL46ET4I2JNCV · pith_short_8: 3OQIL46E

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/3OQIL46ET4I2JNCVYC4NY4ADAI \
  | 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: dba085f3c49f11a4b455c0b8dc70030230a8853a3e2c754d7e6ac76c15d6faa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f87dc2f9896421363039f1a863a42031b9688624e06475862876ec76c5302533",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-05-11T11:38:34Z",
    "title_canon_sha256": "b5f39a619e880dd010142b31d54a546273b6004546b08e00f4b4006017d42f52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9605023",
    "kind": "arxiv",
    "version": 1
  }
}