Pith Number

pith:UFK4NJY6

pith:2015:UFK4NJY66S6A5FIAB3PA6FNJAZ

not attested not anchored not stored refs pending

Exponential laws for weighted function spaces and regularity of weighted mapping groups

Natalie Nikitin

arxiv:1512.07211 v1 · 2015-12-22 · 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{UFK4NJY66S6A5FIAB3PA6FNJAZ}

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	2026-05-18T01:23:52.621977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a155c6a71ef4bc0e95000ede0f15a90673fd8daee836db9b22c3ad3998b69932

Aliases

arxiv: 1512.07211 · arxiv_version: 1512.07211v1 · doi: 10.48550/arxiv.1512.07211 · pith_short_12: UFK4NJY66S6A · pith_short_16: UFK4NJY66S6A5FIA · pith_short_8: UFK4NJY6

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/UFK4NJY66S6A5FIAB3PA6FNJAZ \
  | 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: a155c6a71ef4bc0e95000ede0f15a90673fd8daee836db9b22c3ad3998b69932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f3fcaafdfd51a7c8056d2ba15bd63927aa908a00c6fe77539302613dc211611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-22T19:36:21Z",
    "title_canon_sha256": "5c509a5a9da394749dcba81bb7e94d62e5838b5e763a43608aabec580fbf4d50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07211",
    "kind": "arxiv",
    "version": 1
  }
}