Pith Number

pith:J37IZH3C

pith:2017:J37IZH3CD4I5F2RZERAIQSIDIT

not attested not anchored not stored refs pending

Traces of weighted function spaces: dyadic norms and Whitney extensions

Pekka Koskela, Tom\'as Soto, Zhuang Wang

arxiv:1708.04902 v1 · 2017-08-16 · 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{J37IZH3CD4I5F2RZERAIQSIDIT}

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	2026-05-18T00:37:55.235258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4efe8c9f621f11d2ea39244088490344f7a63a7d43276cf4d177a05f45adca56

Aliases

arxiv: 1708.04902 · arxiv_version: 1708.04902v1 · doi: 10.48550/arxiv.1708.04902 · pith_short_12: J37IZH3CD4I5 · pith_short_16: J37IZH3CD4I5F2RZ · pith_short_8: J37IZH3C

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/J37IZH3CD4I5F2RZERAIQSIDIT \
  | 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: 4efe8c9f621f11d2ea39244088490344f7a63a7d43276cf4d177a05f45adca56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ca5243b44778b541c2f84fd3fd7dba5dbe8070339b6b4175a072877fa635e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-16T14:12:00Z",
    "title_canon_sha256": "f8597ac21930a9f8b3b9000d4d33c018b27bf66fb67f787c6d4e81e136fd9de8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04902",
    "kind": "arxiv",
    "version": 1
  }
}