Pith Number

pith:YOAZTN47

pith:2012:YOAZTN47EGZY2GY45J7JRIWJ2P

not attested not anchored not stored refs pending

On the Penrose inequality for dust null shells in the Minkowski spacetime of arbitrary dimension

Alberto Soria, Marc Mars

arxiv:1203.2872 v1 · 2012-03-13 · 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{YOAZTN47EGZY2GY45J7JRIWJ2P}

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	2026-05-18T01:58:09.296060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38199b79f21b38d1b1cea7e98a2c9d3f977cc80b60526a24dbaec60b530bbbf

Aliases

arxiv: 1203.2872 · arxiv_version: 1203.2872v1 · doi: 10.48550/arxiv.1203.2872 · pith_short_12: YOAZTN47EGZY · pith_short_16: YOAZTN47EGZY2GY4 · pith_short_8: YOAZTN47

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/YOAZTN47EGZY2GY45J7JRIWJ2P \
  | 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: c38199b79f21b38d1b1cea7e98a2c9d3f977cc80b60526a24dbaec60b530bbbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b75bf267f3e5eecd52aafc249310cd4529004d32d3960804de14da890fb4f66c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-03-13T17:30:10Z",
    "title_canon_sha256": "20c9a8612f14e855fc3e0b9d716297188da1f882ea2b00b1c4f8163cc15730d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2872",
    "kind": "arxiv",
    "version": 1
  }
}