Pith Number

pith:HGLLRIB4

pith:2025:HGLLRIB4HREAAFXIONPYHMRTI4

not attested not anchored not stored refs pending

Dynamical Formation of Black Holes due to Boundary Effect in Vacuum Gravity

Puskar Mondal, Shing-Tung Yau

arxiv:2511.09508 v5 · 2025-11-12 · gr-qc · math-ph · math.AP · 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{HGLLRIB4HREAAFXIONPYHMRTI4}

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	2026-06-19T16:10:32.322169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3996b8a03c3c480016e8735f83b2334719c665c7d0dc502f299317cfea2b7d09

Aliases

arxiv: 2511.09508 · arxiv_version: 2511.09508v5 · doi: 10.48550/arxiv.2511.09508 · pith_short_12: HGLLRIB4HREA · pith_short_16: HGLLRIB4HREAAFXI · pith_short_8: HGLLRIB4

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/HGLLRIB4HREAAFXIONPYHMRTI4 \
  | 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: 3996b8a03c3c480016e8735f83b2334719c665c7d0dc502f299317cfea2b7d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7edd9e8af455f6aa81a8579630047f727c32dfdf26e56c4a223d10f25e1cd56c",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-11-12T17:46:48Z",
    "title_canon_sha256": "4487431d85f9ce02dd6d8521946c64c21e6eab273ecff5d5c7e88175a7858d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.09508",
    "kind": "arxiv",
    "version": 5
  }
}