Pith Number

pith:TBPA642Z

pith:2014:TBPA642ZZM5VMA3KZCKDZOTXUQ

not attested not anchored not stored refs pending

Characterization of function spaces via low regularity mollifiers

Petru Mironescu, Xavier Lamy

arxiv:1404.6695 v1 · 2014-04-26 · 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{TBPA642ZZM5VMA3KZCKDZOTXUQ}

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	2026-05-18T02:53:06.272113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

985e0f7359cb3b56036ac8943cba77a41fa6462ac2789b7d96fb36b9a6f67381

Aliases

arxiv: 1404.6695 · arxiv_version: 1404.6695v1 · doi: 10.48550/arxiv.1404.6695 · pith_short_12: TBPA642ZZM5V · pith_short_16: TBPA642ZZM5VMA3K · pith_short_8: TBPA642Z

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/TBPA642ZZM5VMA3KZCKDZOTXUQ \
  | 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: 985e0f7359cb3b56036ac8943cba77a41fa6462ac2789b7d96fb36b9a6f67381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85205800ca8d2f0d81a858230b5a192d3bc51c4c6f52d0e9a87e9f2874756039",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-26T23:43:06Z",
    "title_canon_sha256": "16d0534ef4dd134e4aee0b61e675053521d1f59cab5e77b58ec24f1c4d58f519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6695",
    "kind": "arxiv",
    "version": 1
  }
}