Pith Number

pith:XGMEZ7ML

pith:2018:XGMEZ7ML4AYDBOAGJICJOXWPZ2

not attested not anchored not stored refs pending

Function spaces of logarithmic smoothness: embeddings and characterizations

Oscar Dom\'inguez, Sergey Tikhonov

arxiv:1811.06399 v2 · 2018-11-15 · 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{XGMEZ7ML4AYDBOAGJICJOXWPZ2}

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	2026-05-17T23:57:30.868136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9984cfd8be03030b8064a04975ecfcea3a83670a8552dcdc49f55e317bcefbc

Aliases

arxiv: 1811.06399 · arxiv_version: 1811.06399v2 · doi: 10.48550/arxiv.1811.06399 · pith_short_12: XGMEZ7ML4AYD · pith_short_16: XGMEZ7ML4AYDBOAG · pith_short_8: XGMEZ7ML

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/XGMEZ7ML4AYDBOAGJICJOXWPZ2 \
  | 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: b9984cfd8be03030b8064a04975ecfcea3a83670a8552dcdc49f55e317bcefbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cb3c5c6e5a785787ab734ecd9c188b232477b74dbb76f1473c00fd9820ca081",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-15T14:36:17Z",
    "title_canon_sha256": "5370636f8b965ab2d6086dfb753bc2c2a3be418726ae9a1b297a6cf290ab4c4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06399",
    "kind": "arxiv",
    "version": 2
  }
}