Pith Number

pith:R5MFIKWC

pith:2025:R5MFIKWCOTTFGLOBF3X6SVN22O

not attested not anchored not stored refs pending

Fractional Heat Semigroup Characterization of Distances from Functions in Lipschitz Spaces to Their Subspaces

Dachun Yang, Eero Saksman, Feng Dai, Wen Yuan, Yangyang Zhang

arxiv:2508.21269 v1 · 2025-08-29 · math.FA · math.AP · 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{R5MFIKWCOTTFGLOBF3X6SVN22O}

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	2026-07-05T12:01:31.512173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f58542ac274e6532dc12eefe955bad381767c05735d580374ebd18a78a495c8

Aliases

arxiv: 2508.21269 · arxiv_version: 2508.21269v1 · doi: 10.48550/arxiv.2508.21269 · pith_short_12: R5MFIKWCOTTF · pith_short_16: R5MFIKWCOTTFGLOB · pith_short_8: R5MFIKWC

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/R5MFIKWCOTTFGLOBF3X6SVN22O \
  | 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: 8f58542ac274e6532dc12eefe955bad381767c05735d580374ebd18a78a495c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166a89f5859ace8b82c2dfa5d6c81cb26f82bd5a35cd4ff178bef87b05226f7f",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-08-29T00:04:24Z",
    "title_canon_sha256": "d86f5840bbf6839fd4f95d1592fdbede5f28c780c354737d3b6b0e2218fd9e6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21269",
    "kind": "arxiv",
    "version": 1
  }
}