Pith Number

pith:7B7LFVLL

pith:2013:7B7LFVLLE73ZVJYTXUUXOWOBMU

not attested not anchored not stored refs pending

Closed flat Riemannian 4-manifolds

John G. Ratcliffe, Steven T. Tschantz, Thomas P. Lambert

arxiv:1306.6613 v1 · 2013-06-27 · math.GT · 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{7B7LFVLLE73ZVJYTXUUXOWOBMU}

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.

Cited by

1 paper in Pith

An M-theory dS maximum from Casimir energies on Riemann-flat manifolds

Receipt and verification

First computed	2026-05-18T03:19:44.401667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f87eb2d56b27f79aa713bd297759c1653154c12247135b6aafad0c9a70927417

Aliases

arxiv: 1306.6613 · arxiv_version: 1306.6613v1 · doi: 10.48550/arxiv.1306.6613 · pith_short_12: 7B7LFVLLE73Z · pith_short_16: 7B7LFVLLE73ZVJYT · pith_short_8: 7B7LFVLL

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/7B7LFVLLE73ZVJYTXUUXOWOBMU \
  | 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: f87eb2d56b27f79aa713bd297759c1653154c12247135b6aafad0c9a70927417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fb313990910d3eb06ecc98a65e2150c8d9f5cd752e3b56d9331fc143c38db8d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-06-27T19:17:58Z",
    "title_canon_sha256": "f33ee23314fe27588830e5ab184e618feb201f2e55b717a252a827d0d0a98785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6613",
    "kind": "arxiv",
    "version": 1
  }
}