Pith Number

pith:CIGSUTBG

pith:2025:CIGSUTBGWVR77R5P34N2Z42EGQ

not attested not anchored not stored refs pending

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

Jonas Knoerr

arxiv:2505.22464 v1 · 2025-05-28 · math.FA · 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{CIGSUTBGWVR77R5P34N2Z42EGQ}

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.

Cited by

2 papers in Pith

Translation invariant area measures on convex bodies

Integral representation of polynomial local functionals on convex functions

Receipt and verification

First computed	2026-07-05T11:11:24.619378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

120d2a4c26b563ffc7afdf1bacf3443401affa4ae0502b4a6077cb8a129a8fe5

Aliases

arxiv: 2505.22464 · arxiv_version: 2505.22464v1 · doi: 10.48550/arxiv.2505.22464 · pith_short_12: CIGSUTBGWVR7 · pith_short_16: CIGSUTBGWVR77R5P · pith_short_8: CIGSUTBG

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/CIGSUTBGWVR77R5P34N2Z42EGQ \
  | 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: 120d2a4c26b563ffc7afdf1bacf3443401affa4ae0502b4a6077cb8a129a8fe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5667b24255d5cb5e297d3685f053fbac424c6c1e4bcd6c0d5c91f76384b0b382",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-05-28T15:18:04Z",
    "title_canon_sha256": "87931d004469b9736301bb2ab5905ceca90c14d0803f02b8b6927162765e732e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22464",
    "kind": "arxiv",
    "version": 1
  }
}