Pith Number

pith:TTSJQIGR

pith:2025:TTSJQIGRGX24VJF7LBUJT6MCM7

not attested not anchored not stored refs pending

Hardy-Littlewood maximal operator on spaces of exponential volume growth

Amos Nevo, Koji Fujiwara

arxiv:2505.07682 v1 · 2025-05-12 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTSJQIGRGX24VJF7LBUJT6MCM7}

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	2026-07-05T11:01:51.674867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ce49820d135f5caa4bf586899f98267ce902580b30bd0752a1db94fc177096a

Aliases

arxiv: 2505.07682 · arxiv_version: 2505.07682v1 · doi: 10.48550/arxiv.2505.07682 · pith_short_12: TTSJQIGRGX24 · pith_short_16: TTSJQIGRGX24VJF7 · pith_short_8: TTSJQIGR

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/TTSJQIGRGX24VJF7LBUJT6MCM7 \
  | 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: 9ce49820d135f5caa4bf586899f98267ce902580b30bd0752a1db94fc177096a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feb3a218f608f583b9e9807bf5f37dab8e4a38dcdbe423f25792c654f114f3a2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-05-12T15:47:14Z",
    "title_canon_sha256": "91cb03a0a184b65dbda9b2645cf551f2400bea6a801e5141bfab32d346394401"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.07682",
    "kind": "arxiv",
    "version": 1
  }
}