Pith Number

pith:JOTJ4XDD

pith:2018:JOTJ4XDDPRRNHPXX2L425IEY2F

not attested not anchored not stored refs pending

On the c-concavity with respect to the quadratic cost on a manifold

Federico Glaudo

arxiv:1802.06366 v1 · 2018-02-18 · math.OC · 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{JOTJ4XDDPRRNHPXX2L425IEY2F}

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	2026-05-18T00:23:03.475118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ba69e5c637c62d3bef7d2f9aea098d17fef7bd66a774629d89905d1aa4d7b67

Aliases

arxiv: 1802.06366 · arxiv_version: 1802.06366v1 · doi: 10.48550/arxiv.1802.06366 · pith_short_12: JOTJ4XDDPRRN · pith_short_16: JOTJ4XDDPRRNHPXX · pith_short_8: JOTJ4XDD

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/JOTJ4XDDPRRNHPXX2L425IEY2F \
  | 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: 4ba69e5c637c62d3bef7d2f9aea098d17fef7bd66a774629d89905d1aa4d7b67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea0bda14f8edac7b300fd3cf42be8bd629e6171567b633aa33a6155687539e52",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-18T11:39:41Z",
    "title_canon_sha256": "db5d178df65d8af4509839cee848a6f7f419564d0ec364654617091a5ce32443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06366",
    "kind": "arxiv",
    "version": 1
  }
}