Pith Number

pith:63K46RS7

pith:2008:63K46RS77JIJ535ZINSG4BVWVB

not attested not anchored not stored refs pending

What is the fate of a black hole embedded in an expanding universe?

Changjun Gao, Valerio Faraoni, Xuelei Chen, You-Gen Shen

arxiv:0811.4667 v1 · 2008-11-28 · 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{63K46RS77JIJ535ZINSG4BVWVB}

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	2026-07-04T15:38:59.215050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6d5cf465ffa509eefb943646e06b6a86a20fee17db834669b048f19ad3cd03a

Aliases

arxiv: 0811.4667 · arxiv_version: 0811.4667v1 · doi: 10.48550/arxiv.0811.4667 · pith_short_12: 63K46RS77JIJ · pith_short_16: 63K46RS77JIJ535Z · pith_short_8: 63K46RS7

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/63K46RS77JIJ535ZINSG4BVWVB \
  | 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: f6d5cf465ffa509eefb943646e06b6a86a20fee17db834669b048f19ad3cd03a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2ecb641937673251b6e6352441da18bb3b1691b5b1d9409822868f1bdceac1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-11-28T08:32:06Z",
    "title_canon_sha256": "c45b10332f009400b0d80cacfac55bb2dc2744f6138d9c0e982c8681298b9276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4667",
    "kind": "arxiv",
    "version": 1
  }
}