Pith Number

pith:7OYLB6D6

pith:2017:7OYLB6D6I4F6T4GCKP3LBXWPF5

not attested not anchored not stored refs pending

Toroidal marginally outer trapped surfaces in closed Friedmann-Lemaitre-Robertson-Walker spacetimes: Stability and isoperimetric inequalities

Naqing Xie, Patryk Mach

arxiv:1706.07594 v1 · 2017-06-23 · 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{7OYLB6D6I4F6T4GCKP3LBXWPF5}

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	2026-05-18T00:31:40.731283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbb0b0f87e470be9f0c253f6b0decf2f7af2ed3cb89eaffcac64bf750f7a3b4a

Aliases

arxiv: 1706.07594 · arxiv_version: 1706.07594v1 · doi: 10.48550/arxiv.1706.07594 · pith_short_12: 7OYLB6D6I4F6 · pith_short_16: 7OYLB6D6I4F6T4GC · pith_short_8: 7OYLB6D6

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/7OYLB6D6I4F6T4GCKP3LBXWPF5 \
  | 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: fbb0b0f87e470be9f0c253f6b0decf2f7af2ed3cb89eaffcac64bf750f7a3b4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eadf1217e6cc19619a5e845173c8a8f7553ec753af51967be1105beeb0a69257",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-06-23T08:24:05Z",
    "title_canon_sha256": "4f4aa1e4df365c64839ae8f82ae8349a328eabc9a6237bac38cdbaf7ca287df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07594",
    "kind": "arxiv",
    "version": 1
  }
}