Pith Number

pith:CBODX5PD

pith:2008:CBODX5PDZS73MN7RX2FXWWH5PN

not attested not anchored not stored refs pending

A Causal Set Black Hole

David Rideout, Song He

arxiv:0811.4235 v2 · 2008-11-26 · 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{CBODX5PDZS73MN7RX2FXWWH5PN}

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.

Cited by

1 paper in Pith

Towards black-hole horizons and geodesic focusing in causal sets

Receipt and verification

First computed	2026-05-18T02:15:13.076478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105c3bf5e3ccbfb637f1be8b7b58fd7b4168b736ccd9bc70f964d03cac6bdb71

Aliases

arxiv: 0811.4235 · arxiv_version: 0811.4235v2 · doi: 10.48550/arxiv.0811.4235 · pith_short_12: CBODX5PDZS73 · pith_short_16: CBODX5PDZS73MN7R · pith_short_8: CBODX5PD

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/CBODX5PDZS73MN7RX2FXWWH5PN \
  | 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: 105c3bf5e3ccbfb637f1be8b7b58fd7b4168b736ccd9bc70f964d03cac6bdb71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd7546589b7416a3c667bb30bf307e5642d1cc592446d4e32c24ed51df72a387",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-11-26T07:11:12Z",
    "title_canon_sha256": "90ea96db933d5dbd8b2f735b8c66677b30feb38e1d50fa9a41a9b090338a9ab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4235",
    "kind": "arxiv",
    "version": 2
  }
}