Pith Number

pith:TRZCB7NW

pith:2015:TRZCB7NWTHBU3L6G42TLLG7WF4

not attested not anchored not stored refs pending

On the Penrose inequality along null hypersurfaces

Alberto Soria, Marc Mars

arxiv:1511.06242 v1 · 2015-11-19 · 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{TRZCB7NWTHBU3L6G42TLLG7WF4}

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	2026-05-18T01:14:02.323497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c7220fdb699c34dafc6e6a6b59bf62f0d77b70b07da1640629101829888c7ac

Aliases

arxiv: 1511.06242 · arxiv_version: 1511.06242v1 · doi: 10.48550/arxiv.1511.06242 · pith_short_12: TRZCB7NWTHBU · pith_short_16: TRZCB7NWTHBU3L6G · pith_short_8: TRZCB7NW

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/TRZCB7NWTHBU3L6G42TLLG7WF4 \
  | 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: 9c7220fdb699c34dafc6e6a6b59bf62f0d77b70b07da1640629101829888c7ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "167fbb11feb83a139581c18695793d4ea9acacb47ff46f727b1c8f745d92273f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-19T16:32:15Z",
    "title_canon_sha256": "beecb7737af339b93599d25bcdccb71fc40e20d096eee4a933d4eec9926c1764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06242",
    "kind": "arxiv",
    "version": 1
  }
}