Pith Number

pith:55NOV4K6

pith:2010:55NOV4K6VH4PXUUA2EE62I3NVG

not attested not anchored not stored refs pending

Dilation properties for weighted modulation spaces

Elena Cordero, Kasso Okoudjou

arxiv:1008.0266 v1 · 2010-08-02 · 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{55NOV4K6VH4PXUUA2EE62I3NVG}

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	2026-05-18T04:42:43.659058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef5aeaf15ea9f8fbd280d109ed236da99532bf6e961a56957c68933982cca068

Aliases

arxiv: 1008.0266 · arxiv_version: 1008.0266v1 · doi: 10.48550/arxiv.1008.0266 · pith_short_12: 55NOV4K6VH4P · pith_short_16: 55NOV4K6VH4PXUUA · pith_short_8: 55NOV4K6

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/55NOV4K6VH4PXUUA2EE62I3NVG \
  | 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: ef5aeaf15ea9f8fbd280d109ed236da99532bf6e961a56957c68933982cca068

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29e691972e05ead328b52c41958a743eab48f8f2e46bd580726dfc60e2a0c14e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-08-02T09:54:54Z",
    "title_canon_sha256": "c90bc9308cce8b991130a830f4886ef1ab164b477748bc17a9e01e5b5ef3cc92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0266",
    "kind": "arxiv",
    "version": 1
  }
}