Pith Number

pith:5EEA4SOI

pith:2015:5EEA4SOISVHX5IOTW5G5SRYIIC

not attested not anchored not stored refs pending

A sharp quantitative version of Alexandrov's theorem via the method of moving planes

Giulio Ciraolo, Luigi Vezzoni

arxiv:1501.07845 v3 · 2015-01-30 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EEA4SOISVHX5IOTW5G5SRYIIC}

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	2026-05-18T01:23:04.314493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9080e49c8954f7ea1d3b74dd94708408d2bdd67a0fc998bd77cb227bf2ce4d6

Aliases

arxiv: 1501.07845 · arxiv_version: 1501.07845v3 · doi: 10.48550/arxiv.1501.07845 · pith_short_12: 5EEA4SOISVHX · pith_short_16: 5EEA4SOISVHX5IOT · pith_short_8: 5EEA4SOI

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/5EEA4SOISVHX5IOTW5G5SRYIIC \
  | 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: e9080e49c8954f7ea1d3b74dd94708408d2bdd67a0fc998bd77cb227bf2ce4d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aefb2a4b48445c0d1058f04269d884469ae574cba9bc0c23e37362505370a60",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-01-30T17:05:25Z",
    "title_canon_sha256": "11dacaa969051f270a8020dbc758533786026cd5f7598ef8cc84efbbfd6ef57e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07845",
    "kind": "arxiv",
    "version": 3
  }
}