Pith Number

pith:7MQNV4VI

pith:2011:7MQNV4VIL3ERM4LMMZE5ZRIXLL

not attested not anchored not stored refs pending

Lemaitre-Tolman-Bondi model of the universe and Hawking radiation of a dynamical horizon

Nairwita Mazumder, Ritabrata Biswas, Subenoy Chakraborty

arxiv:1106.2286 v2 · 2011-06-12 · 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{7MQNV4VIL3ERM4LMMZE5ZRIXLL}

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	2026-05-18T02:01:39.646458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb20daf2a85ec916716c6649dcc5175adae0ab11a9975283fb518f55aa827632

Aliases

arxiv: 1106.2286 · arxiv_version: 1106.2286v2 · doi: 10.48550/arxiv.1106.2286 · pith_short_12: 7MQNV4VIL3ER · pith_short_16: 7MQNV4VIL3ERM4LM · pith_short_8: 7MQNV4VI

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/7MQNV4VIL3ERM4LMMZE5ZRIXLL \
  | 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: fb20daf2a85ec916716c6649dcc5175adae0ab11a9975283fb518f55aa827632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a86dd771d51ecf82622db13f8c3ca716dfac3aab1a72fff8a203920970d8275",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-06-12T07:58:46Z",
    "title_canon_sha256": "255d71774d5f9bb4a8245c1659c4dc7ea5341b0ff581b5713ca62b840db1e342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2286",
    "kind": "arxiv",
    "version": 2
  }
}