Pith Number

pith:N6IVMHXY

pith:2018:N6IVMHXY4NTW7LVWICBL6WR3J6

not attested not anchored not stored refs pending

Optimal isoperimetric inequalities for surfaces in any codimension in Cartan-Hadamard manifolds

Felix Schulze

arxiv:1802.00226 v3 · 2018-02-01 · math.DG · math.AP

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\usepackage{pith}
\pithnumber{N6IVMHXY4NTW7LVWICBL6WR3J6}

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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

Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds

Receipt and verification

First computed	2026-07-05T00:37:59.763010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f91561ef8e3676faeb64082bf5a3b4f9a0836e2dc12a89a6ba28c5b3b5054df

Aliases

arxiv: 1802.00226 · arxiv_version: 1802.00226v3 · doi: 10.48550/arxiv.1802.00226 · pith_short_12: N6IVMHXY4NTW · pith_short_16: N6IVMHXY4NTW7LVW · pith_short_8: N6IVMHXY

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/N6IVMHXY4NTW7LVWICBL6WR3J6 \
  | 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: 6f91561ef8e3676faeb64082bf5a3b4f9a0836e2dc12a89a6ba28c5b3b5054df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3ec10a8404a69bdb12cb0e97b111141a7cea216e11a37b9a36d2ad67085a5ec",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-02-01T10:20:39Z",
    "title_canon_sha256": "9b95d7acafe774d78a08a24e89d1dfffe37d4e1f570ce45e5a6ec3cb7ffb3c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00226",
    "kind": "arxiv",
    "version": 3
  }
}