Pith Number

pith:2NLVQROE

pith:2024:2NLVQROEBELZKIO44FHWDNJR4M

not attested not anchored not stored refs pending

A geometric decomposition for unitarily invariant valuations on convex functions

Jonas Knoerr

arxiv:2408.01352 v1 · 2024-08-02 · math.FA · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NLVQROEBELZKIO44FHWDNJR4M}

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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

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions

Receipt and verification

First computed	2026-07-05T08:51:30.587287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3575845c409179521dce14f61b531e3089c209aa7488cb21ab65808fecebfb1

Aliases

arxiv: 2408.01352 · arxiv_version: 2408.01352v1 · doi: 10.48550/arxiv.2408.01352 · pith_short_12: 2NLVQROEBELZ · pith_short_16: 2NLVQROEBELZKIO4 · pith_short_8: 2NLVQROE

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/2NLVQROEBELZKIO44FHWDNJR4M \
  | 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: d3575845c409179521dce14f61b531e3089c209aa7488cb21ab65808fecebfb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02c6981d8261a00a4c2c02566b42d8fc06aa80d52758ee1802e0715c09504ca0",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-08-02T15:56:48Z",
    "title_canon_sha256": "fa8a9e681f19ee2fafa9a5b0887eb6d34fa10c0e04dd3f50bcb965de39f1dc26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.01352",
    "kind": "arxiv",
    "version": 1
  }
}