Pith Number

pith:44HFFNDB

pith:2024:44HFFNDBTABR2LBXMN5UHZWM6N

not attested not anchored not stored refs pending

On the $m$th-order Affine P\'olya-Szeg\"o Principle

Dylan Langharst, Michael Roysdon, Yiming Zhao

arxiv:2409.02232 v2 · 2024-09-03 · 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{44HFFNDBTABR2LBXMN5UHZWM6N}

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	2026-07-05T11:14:49.106856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e70e52b46198031d2c37637b43e6ccf34ee96364c02977424f78fc26debef5a1

Aliases

arxiv: 2409.02232 · arxiv_version: 2409.02232v2 · doi: 10.48550/arxiv.2409.02232 · pith_short_12: 44HFFNDBTABR · pith_short_16: 44HFFNDBTABR2LBX · pith_short_8: 44HFFNDB

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/44HFFNDBTABR2LBXMN5UHZWM6N \
  | 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: e70e52b46198031d2c37637b43e6ccf34ee96364c02977424f78fc26debef5a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcb7f1290a62132fde3effe501e2f1951e737c25801425ba75178b64c7a86e1f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-09-03T19:00:11Z",
    "title_canon_sha256": "bb0a3211c2dfd57a827756c800b296fbd26d9f023a219cce24e554871c3ef431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.02232",
    "kind": "arxiv",
    "version": 2
  }
}