Pith Number

pith:46XXZHQ3

pith:2012:46XXZHQ32IHOS6V2G3LT4XG33A

not attested not anchored not stored refs pending

Sobolev Extension By Linear Operators

Arie Israel, Charles L. Fefferman, Garving K. Luli

arxiv:1205.2525 v2 · 2012-05-11 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46XXZHQ32IHOS6V2G3LT4XG33A}

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	2026-05-18T03:55:13.655652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7af7c9e1bd20ee97aba36d73e5cdbd80f4bbf2bc8dbd57f55817c649ae2c3dc

Aliases

arxiv: 1205.2525 · arxiv_version: 1205.2525v2 · doi: 10.48550/arxiv.1205.2525 · pith_short_12: 46XXZHQ32IHO · pith_short_16: 46XXZHQ32IHOS6V2 · pith_short_8: 46XXZHQ3

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/46XXZHQ32IHOS6V2G3LT4XG33A \
  | 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: e7af7c9e1bd20ee97aba36d73e5cdbd80f4bbf2bc8dbd57f55817c649ae2c3dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "514642e6bdfdd73e3b4442752eaab11430f407bc463b6ac05ea3b72d3ec0d314",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-11T13:57:44Z",
    "title_canon_sha256": "119655e1e3586af013e1faf190585a91e7462f56b44e155db641fe92164dce53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2525",
    "kind": "arxiv",
    "version": 2
  }
}