Pith Number

pith:2CRHM3XP

pith:2025:2CRHM3XPCAMKSJMSKYEEAROCGQ

not attested not anchored not stored refs pending

Polynomial local functionals on convex functions

Jonas Knoerr

arxiv:2512.15402 v2 · 2025-12-17 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2CRHM3XPCAMKSJMSKYEEAROCGQ}

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

3 papers in Pith

Measure-valued valuations on star bodies

Translation invariant area measures on convex bodies

Integral representation of polynomial local functionals on convex functions

Receipt and verification

First computed	2026-06-23T01:11:59.467126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0a2766eef1018a9259256084045c23428ab880f7f08c03364b08feff0317024

Aliases

arxiv: 2512.15402 · arxiv_version: 2512.15402v2 · doi: 10.48550/arxiv.2512.15402 · pith_short_12: 2CRHM3XPCAMK · pith_short_16: 2CRHM3XPCAMKSJMS · pith_short_8: 2CRHM3XP

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/2CRHM3XPCAMKSJMSKYEEAROCGQ \
  | 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: d0a2766eef1018a9259256084045c23428ab880f7f08c03364b08feff0317024

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32bc40df694c98ecc264c3273c42e7d65624d8e557765e91b87b8a7929d78679",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-12-17T12:52:09Z",
    "title_canon_sha256": "111ed55edad2a7e55463593f6144b00dc874f9362c18db61c6d8e5f6c5f02707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.15402",
    "kind": "arxiv",
    "version": 2
  }
}