Pith Number

pith:OFDB4DCO

pith:2012:OFDB4DCO5LWKNB4QM6OQ5AB6AO

not attested not anchored not stored refs pending

Non-smooth atomic decompositions, traces on Lipschitz domains, and pointwise multipliers in function spaces

Cornelia Schneider, Jan Vyb\'iral

arxiv:1201.2280 v1 · 2012-01-11 · 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{OFDB4DCO5LWKNB4QM6OQ5AB6AO}

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	2026-05-18T04:04:52.686190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71461e0c4eeaeca68790679d0e803e03b33dd4924e83a55fbc27cb8d2133c481

Aliases

arxiv: 1201.2280 · arxiv_version: 1201.2280v1 · doi: 10.48550/arxiv.1201.2280 · pith_short_12: OFDB4DCO5LWK · pith_short_16: OFDB4DCO5LWKNB4Q · pith_short_8: OFDB4DCO

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/OFDB4DCO5LWKNB4QM6OQ5AB6AO \
  | 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: 71461e0c4eeaeca68790679d0e803e03b33dd4924e83a55fbc27cb8d2133c481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bb689ea2786d3cc12881e6a0ad13547b9212a2da92754dd374512bd45c8248f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-11T11:14:50Z",
    "title_canon_sha256": "5857d9823738a1452eed0b31fe721232e0371789c1626ed11e495bd46656d43d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2280",
    "kind": "arxiv",
    "version": 1
  }
}