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Pith Number

pith:3XDI63HZ

pith:2013:3XDI63HZDDS3W2UB7TYS2V24BB
not attested not anchored not stored refs pending

Rigidity results, inverse curvature flows and Alexandrov-Fenchel type inequalities in the sphere

Julian Scheuer, Matthias Makowski

arxiv:1307.5764 v3 · 2013-07-22 · math.DG · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3XDI63HZDDS3W2UB7TYS2V24BB}

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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.
Receipt and verification
First computed 2026-05-18T00:50:12.651046Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ddc68f6cf918e5bb6a81fcf12d575c085bcd222b2b5ab05721669d9e0cde5a02

Aliases

arxiv: 1307.5764 · arxiv_version: 1307.5764v3 · doi: 10.48550/arxiv.1307.5764 · pith_short_12: 3XDI63HZDDS3 · pith_short_16: 3XDI63HZDDS3W2UB · pith_short_8: 3XDI63HZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3XDI63HZDDS3W2UB7TYS2V24BB \
  | 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: ddc68f6cf918e5bb6a81fcf12d575c085bcd222b2b5ab05721669d9e0cde5a02
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c60053daf82f51f5727785395542d7771cdfa938decaeeffbcd964685db28457",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-22T16:30:06Z",
    "title_canon_sha256": "6647c30b5083f81af6422c1d1792d92e9a9aea226323fe88a43905587efed376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5764",
    "kind": "arxiv",
    "version": 3
  }
}