Pith Number

pith:PJEVS65T

pith:2012:PJEVS65TFAVL376QKEEVAUMSB4

not attested not anchored not stored refs pending

Weighted Sobolev spaces of radially symmetric functions

Roberta Musina

arxiv:1206.6957 v3 · 2012-06-29 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJEVS65TFAVL376QKEEVAUMSB4}

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	2026-05-18T03:01:11.183340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a49597bb3282abdffd051095051920f245995f1bf13aa87922fc461521ea3f9

Aliases

arxiv: 1206.6957 · arxiv_version: 1206.6957v3 · doi: 10.48550/arxiv.1206.6957 · pith_short_12: PJEVS65TFAVL · pith_short_16: PJEVS65TFAVL376Q · pith_short_8: PJEVS65T

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/PJEVS65TFAVL376QKEEVAUMSB4 \
  | 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: 7a49597bb3282abdffd051095051920f245995f1bf13aa87922fc461521ea3f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "905446c2a39e55bacc7730b53af15501322a23735de1205cf268daca99a18bf5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-29T07:43:03Z",
    "title_canon_sha256": "ba54b0b0a91506226bb902a5f92730696c38caab002c01c5748d493c0c5453f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6957",
    "kind": "arxiv",
    "version": 3
  }
}