Pith Number

pith:DOHSMGRZ

pith:2011:DOHSMGRZINHHD37Z3F6HQJNXRV

not attested not anchored not stored refs pending

Critical collapse and black hole formation within an expanding perfect fluid

Ilia Musco

arxiv:1106.5287 v4 · 2011-06-27 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOHSMGRZINHHD37Z3F6HQJNXRV}

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	2026-05-18T01:01:42.667518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b8f261a39434e71eff9d97c7825b78d5a9a25246bcb55b3fbd5a8e4e96f91e7

Aliases

arxiv: 1106.5287 · arxiv_version: 1106.5287v4 · doi: 10.48550/arxiv.1106.5287 · pith_short_12: DOHSMGRZINHH · pith_short_16: DOHSMGRZINHHD37Z · pith_short_8: DOHSMGRZ

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/DOHSMGRZINHHD37Z3F6HQJNXRV \
  | 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: 1b8f261a39434e71eff9d97c7825b78d5a9a25246bcb55b3fbd5a8e4e96f91e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c65a9166ffeea2dad36f0852e5c67bb29f740a46ce564c98b8d958657c8526a",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-06-27T02:01:01Z",
    "title_canon_sha256": "c403ea934aa0a2b2b854ec1f05e9bfc5a3f071e4ba78ee4b3336c0f3b3ec3240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5287",
    "kind": "arxiv",
    "version": 4
  }
}