Pith Number

pith:MECLPXKP

pith:2025:MECLPXKPFRPZMKTGQBUKDCA6MI

not attested not anchored not stored refs pending

Formation of trapped surfaces for the Einstein--Maxwell--charged scalar field system

Dawei Shen, Jingbo Wan

arxiv:2504.19976 v1 · 2025-04-28 · math.AP · gr-qc · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MECLPXKPFRPZMKTGQBUKDCA6MI}

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

Formation of multiple Black Holes from Cauchy data

Receipt and verification

First computed	2026-07-05T10:55:07.063339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6104b7dd4f2c5f962a668068a1881e621fb01f073738bda9a860973880570e22

Aliases

arxiv: 2504.19976 · arxiv_version: 2504.19976v1 · doi: 10.48550/arxiv.2504.19976 · pith_short_12: MECLPXKPFRPZ · pith_short_16: MECLPXKPFRPZMKTG · pith_short_8: MECLPXKP

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/MECLPXKPFRPZMKTGQBUKDCA6MI \
  | 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: 6104b7dd4f2c5f962a668068a1881e621fb01f073738bda9a860973880570e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bde40b759c4d3babd4db284acbd543318905c110843dffc4182b6f9590c66bd",
    "cross_cats_sorted": [
      "gr-qc",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-28T16:49:11Z",
    "title_canon_sha256": "a856b12639d6f84434f6eeeeb9f3292ed32253e8402cc7892227e9579ca0701b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.19976",
    "kind": "arxiv",
    "version": 1
  }
}