Pith Number

pith:O4DKG7RS

pith:2018:O4DKG7RSYP4WEG5J5DJCWBL3RJ

not attested not anchored not stored refs pending

Hausdorff closed limits and the causal boundary of globally hyperbolic spacetimes with timelike boundary

Ivan P. Costa e Silva, J\'onatan Herrera, Jos\'e Luis Flores

arxiv:1811.02670 v2 · 2018-11-06 · math-ph · gr-qc · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4DKG7RSYP4WEG5J5DJCWBL3RJ}

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	2026-05-18T00:00:39.079294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7706a37e32c3f9621ba9e8d22b057b8a575dc3264910443333ac328f007039ed

Aliases

arxiv: 1811.02670 · arxiv_version: 1811.02670v2 · doi: 10.48550/arxiv.1811.02670 · pith_short_12: O4DKG7RSYP4W · pith_short_16: O4DKG7RSYP4WEG5J · pith_short_8: O4DKG7RS

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/O4DKG7RSYP4WEG5J5DJCWBL3RJ \
  | 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: 7706a37e32c3f9621ba9e8d22b057b8a575dc3264910443333ac328f007039ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b0dc7111edf8b31ecbfcb5b86e288f12c445fee5adf6bb8c1f4ac2bafe2d490",
    "cross_cats_sorted": [
      "gr-qc",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-11-06T21:44:44Z",
    "title_canon_sha256": "bccc97d393358dee5ef3cfa7b245f75cb7da1b2db16bfe25247a64e61a3b83b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02670",
    "kind": "arxiv",
    "version": 2
  }
}