Pith Number

pith:DAELCE4N

pith:2011:DAELCE4N2LQ7EA4L5FR7MBMDVB

not attested not anchored not stored refs pending

Generalized Orlicz spaces and Wasserstein distances for convex-concave scale functions

Karl-Theodor Sturm

arxiv:1104.4223 v1 · 2011-04-21 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DAELCE4N2LQ7EA4L5FR7MBMDVB}

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	2026-05-18T04:23:44.824466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1808b1138dd2e1f2038be963f60583a85db9b8b8cc41d10cf0d476965c07bb29

Aliases

arxiv: 1104.4223 · arxiv_version: 1104.4223v1 · doi: 10.48550/arxiv.1104.4223 · pith_short_12: DAELCE4N2LQ7 · pith_short_16: DAELCE4N2LQ7EA4L · pith_short_8: DAELCE4N

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/DAELCE4N2LQ7EA4L5FR7MBMDVB \
  | 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: 1808b1138dd2e1f2038be963f60583a85db9b8b8cc41d10cf0d476965c07bb29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cab0b3c489d2091791cc928d381134528a2d5b12afb24ad2408888c05730f43",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-21T10:19:24Z",
    "title_canon_sha256": "09bab009e91ffae8c9e4c86c6604c7a0a58abd708d835381140e6441d6efba2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4223",
    "kind": "arxiv",
    "version": 1
  }
}