Pith Number

pith:AZM2C7HG

pith:2018:AZM2C7HGPB6M7Z2C5IU3UBKGNN

not attested not anchored not stored refs pending

Generalized Lebesgue points for Haj{\l} asz functions

Toni Heikkinen

arxiv:1811.03870 v1 · 2018-11-09 · 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{AZM2C7HGPB6M7Z2C5IU3UBKGNN}

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	2026-05-18T00:01:11.749244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0659a17ce6787ccfe742ea29ba05466b6b62243d6bfd37e6b0eb3db50770f7be

Aliases

arxiv: 1811.03870 · arxiv_version: 1811.03870v1 · doi: 10.48550/arxiv.1811.03870 · pith_short_12: AZM2C7HGPB6M · pith_short_16: AZM2C7HGPB6M7Z2C · pith_short_8: AZM2C7HG

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/AZM2C7HGPB6M7Z2C5IU3UBKGNN \
  | 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: 0659a17ce6787ccfe742ea29ba05466b6b62243d6bfd37e6b0eb3db50770f7be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f2b81943161d1477c293045ae8aa659e25db38bb01386d5f629b0810b67a7c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-09T12:00:30Z",
    "title_canon_sha256": "59890aacc969d87840414d80fce0f9cac5176c8ee0cb969790e224cca85b29c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03870",
    "kind": "arxiv",
    "version": 1
  }
}