Pith Number

pith:N75T4M3E

pith:2017:N75T4M3E4AVSXDDMWFXIFLYMOY

not attested not anchored not stored refs pending

T1 theorem for Campanato spaces on domains

Andrei V. Vasin

arxiv:1711.09303 v1 · 2017-11-25 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N75T4M3E4AVSXDDMWFXIFLYMOY}

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	2026-05-18T00:29:36.079086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ffb3e3364e02b2b8c6cb16e82af0c761345e65b286b68851dd4e1b38e46360e

Aliases

arxiv: 1711.09303 · arxiv_version: 1711.09303v1 · doi: 10.48550/arxiv.1711.09303 · pith_short_12: N75T4M3E4AVS · pith_short_16: N75T4M3E4AVSXDDM · pith_short_8: N75T4M3E

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/N75T4M3E4AVSXDDMWFXIFLYMOY \
  | 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: 6ffb3e3364e02b2b8c6cb16e82af0c761345e65b286b68851dd4e1b38e46360e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4941f88cb46ba57dd547cfbf27c16cce8c5caf5515388e5b75b8c20f934610d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-25T22:31:51Z",
    "title_canon_sha256": "231c49197b2b7b750034c1d84d0739265aca3321f04f5517c923376505a2370d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09303",
    "kind": "arxiv",
    "version": 1
  }
}