Pith Number

pith:IDAA6UAU

pith:2019:IDAA6UAUNBTNO4F42IXIV3DNLO

not attested not anchored not stored refs pending

Dyadic norm Besov-type spaces as trace spaces on regular trees

Pekka Koskela, Zhuang Wang

arxiv:1908.06937 v1 · 2019-08-19 · 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{IDAA6UAUNBTNO4F42IXIV3DNLO}

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	2026-07-05T00:23:06.744637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40c00f50146866d770bcd22e8aec6d5bbd73b31fbe5d2f570d83731b358434b4

Aliases

arxiv: 1908.06937 · arxiv_version: 1908.06937v1 · doi: 10.48550/arxiv.1908.06937 · pith_short_12: IDAA6UAUNBTN · pith_short_16: IDAA6UAUNBTNO4F4 · pith_short_8: IDAA6UAU

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/IDAA6UAUNBTNO4F42IXIV3DNLO \
  | 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: 40c00f50146866d770bcd22e8aec6d5bbd73b31fbe5d2f570d83731b358434b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "937a4628a164addd4bf44198d7e607702b6b0cf37ac867173103e85bcbb99184",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-19T17:22:07Z",
    "title_canon_sha256": "0ab4c5fbd1a4afb30f85d31f9cfe998c4355f8bbd99ddb7ff6e4094016ece67a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06937",
    "kind": "arxiv",
    "version": 1
  }
}