Pith Number

pith:WTF4A4S7

pith:2026:WTF4A4S7GQH63RB7CVMSDD45CM

not attested not anchored not stored refs pending

On the Fourier Mean Bodies of a Convex Body

Artem Zvavitch, Auttawich Manui, Dylan Langharst

arxiv:2601.20117 v2 · 2026-01-27 · math.MG · 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{WTF4A4S7GQH63RB7CVMSDD45CM}

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	2026-07-02T00:18:26.927780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4cbc0725f340fedc43f1559218f9d131f0a8a9e80b30163949e0a9630b48297

Aliases

arxiv: 2601.20117 · arxiv_version: 2601.20117v2 · doi: 10.48550/arxiv.2601.20117 · pith_short_12: WTF4A4S7GQH6 · pith_short_16: WTF4A4S7GQH63RB7 · pith_short_8: WTF4A4S7

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/WTF4A4S7GQH63RB7CVMSDD45CM \
  | 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: b4cbc0725f340fedc43f1559218f9d131f0a8a9e80b30163949e0a9630b48297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06de80315019834ae5b631644440ac8ee19aa185720ab3a4e0ba6ebc877bda5d",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-01-27T23:17:59Z",
    "title_canon_sha256": "e33637c57d08c1d369a95984eefafe83941a04c5a3a400a542f5b83f1ab7a577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.20117",
    "kind": "arxiv",
    "version": 2
  }
}