Pith Number

pith:LLUR2JNK

pith:2022:LLUR2JNKLNJOF7SZZBMKKCPI33

not attested not anchored not stored refs pending

Singular valuations and the Hadwiger theorem on convex functions

Jonas Knoerr

arxiv:2209.05158 v4 · 2022-09-12 · 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{LLUR2JNKLNJOF7SZZBMKKCPI33}

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

A Klain-Schneider Theorem for Vector-Valued Valuations on Convex Functions

Additive Kinematic Formulas for Functional Minkowski Vectors

Receipt and verification

First computed	2026-07-05T09:20:35.979093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae91d25aa5b52e2fe59c858a509e8def0e42f6b18fdd73f5930fec40f89f97b

Aliases

arxiv: 2209.05158 · arxiv_version: 2209.05158v4 · doi: 10.48550/arxiv.2209.05158 · pith_short_12: LLUR2JNKLNJO · pith_short_16: LLUR2JNKLNJOF7SZ · pith_short_8: LLUR2JNK

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/LLUR2JNKLNJOF7SZZBMKKCPI33 \
  | 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: 5ae91d25aa5b52e2fe59c858a509e8def0e42f6b18fdd73f5930fec40f89f97b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ce653fc457fc301374d8d7b3962378d6986f5b12f037b1154dadc0d35796f53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-09-12T11:33:31Z",
    "title_canon_sha256": "d166a326dda2c8ee0174edf1112e3ed85ceccebf6cb24a5bcd29f5863c07d0fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.05158",
    "kind": "arxiv",
    "version": 4
  }
}