Pith Number

pith:DAEB5PZ4

pith:2011:DAEB5PZ4LOGNFSSQSRJV6SGSXI

not attested not anchored not stored refs pending

Heat maximal function on a Lie group of exponential growth

Maria Vallarino, Peter Sj\"ogren

arxiv:1110.1713 v1 · 2011-10-08 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DAEB5PZ4LOGNFSSQSRJV6SGSXI}

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	2026-05-18T04:11:19.786290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18081ebf3c5b8cd2ca5094535f48d2ba1be0873c37d893e2bef20c6672e3e7c0

Aliases

arxiv: 1110.1713 · arxiv_version: 1110.1713v1 · doi: 10.48550/arxiv.1110.1713 · pith_short_12: DAEB5PZ4LOGN · pith_short_16: DAEB5PZ4LOGNFSSQ · pith_short_8: DAEB5PZ4

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/DAEB5PZ4LOGNFSSQSRJV6SGSXI \
  | 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: 18081ebf3c5b8cd2ca5094535f48d2ba1be0873c37d893e2bef20c6672e3e7c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f659c33b363e4da07da923ca6b416a34bdf49400e1c0b9fda495895769646b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-08T09:29:17Z",
    "title_canon_sha256": "1ce9b482db753913a80383e51cef089153230845db5f367f97bcd3dce579d7e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1713",
    "kind": "arxiv",
    "version": 1
  }
}