Pith Number

pith:APMU7LJT

pith:2025:APMU7LJT4XZUQ25Y5XYRULRBAR

not attested not anchored not stored refs pending

Area-charge inequality and local rigidity in charged initial data sets

Abra\~ao Mendes

arxiv:2505.20060 v1 · 2025-05-26 · math.DG · 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{APMU7LJT4XZUQ25Y5XYRULRBAR}

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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

Area-charge inequalities and rigidity of time-symmetric initial data sets

Receipt and verification

First computed	2026-07-05T11:09:52.062122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d94fad33e5f3486bb8edf11a2e210460515d381585951cabd4bcf7eebe0c9a

Aliases

arxiv: 2505.20060 · arxiv_version: 2505.20060v1 · doi: 10.48550/arxiv.2505.20060 · pith_short_12: APMU7LJT4XZU · pith_short_16: APMU7LJT4XZUQ25Y · pith_short_8: APMU7LJT

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/APMU7LJT4XZUQ25Y5XYRULRBAR \
  | 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: 03d94fad33e5f3486bb8edf11a2e210460515d381585951cabd4bcf7eebe0c9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f08ec103c604dd9b36b4cfe25d1fcd3652c8709fe865cbf2f5fe9532ba10d365",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-05-26T14:46:26Z",
    "title_canon_sha256": "7962a1c4c4608e8497bb8b8799d8464f804af537b64b1c4b1392205225040984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.20060",
    "kind": "arxiv",
    "version": 1
  }
}