Pith Number

pith:SMQU45KX

pith:2018:SMQU45KXK7SVVRSJQC7YOHBWFR

not attested not anchored not stored refs pending

Compactness properties for modulation spaces

Christine Pfeuffer, Joachim Toft

arxiv:1804.00948 v1 · 2018-04-03 · 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{SMQU45KXK7SVVRSJQC7YOHBWFR}

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	2026-05-18T00:19:31.722494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93214e755757e55ac64980bf871c362c502c1d8eb61863b22687d7b647734e29

Aliases

arxiv: 1804.00948 · arxiv_version: 1804.00948v1 · doi: 10.48550/arxiv.1804.00948 · pith_short_12: SMQU45KXK7SV · pith_short_16: SMQU45KXK7SVVRSJ · pith_short_8: SMQU45KX

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/SMQU45KXK7SVVRSJQC7YOHBWFR \
  | 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: 93214e755757e55ac64980bf871c362c502c1d8eb61863b22687d7b647734e29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22deaab5f57691600d315eb0095cb50c6c35d1c6bcaf8598942fa47cf1a3e99b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-03T13:15:37Z",
    "title_canon_sha256": "d7e6831d03641ff2ffbbb15d10b8d5cccca92565c3180ed8d337c097e5db7ad4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00948",
    "kind": "arxiv",
    "version": 1
  }
}