Pith Number

pith:QYTRJ4DZ

pith:2017:QYTRJ4DZ7K7364TS4MUP7S4ZIC

not attested not anchored not stored refs pending

Toroidal trapped surfaces and isoperimetric inequalities

Edward Malec, Janusz Karkowski, Naqing Xie, Niall O'Murchadha, Patryk Mach

arxiv:1701.02861 v2 · 2017-01-11 · gr-qc · math-ph · 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{QYTRJ4DZ7K7364TS4MUP7S4ZIC}

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	2026-05-18T00:47:48.505750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

862714f079fabfbf7272e328ffcb99408b7dd7fb975e686115c8c1277dad185a

Aliases

arxiv: 1701.02861 · arxiv_version: 1701.02861v2 · doi: 10.48550/arxiv.1701.02861 · pith_short_12: QYTRJ4DZ7K73 · pith_short_16: QYTRJ4DZ7K7364TS · pith_short_8: QYTRJ4DZ

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/QYTRJ4DZ7K7364TS4MUP7S4ZIC \
  | 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: 862714f079fabfbf7272e328ffcb99408b7dd7fb975e686115c8c1277dad185a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d7e09040ecc8e7ee17596e1368428309db50a9502e0075795df31a45ebeacf8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-01-11T06:20:47Z",
    "title_canon_sha256": "7ce802914263a1003377a1fbdfcdeaab17d5c02a51d168db56597fc2fefa0ac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02861",
    "kind": "arxiv",
    "version": 2
  }
}