Pith Number

pith:5TX2LDJF

pith:2015:5TX2LDJFGNUMC4QXS3M7UIMQD2

not attested not anchored not stored refs pending

Weighted Sobolev regularity of the Bergman projection on the Hartogs triangle

Liwei Chen

arxiv:1502.04282 v3 · 2015-02-15 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TX2LDJFGNUMC4QXS3M7UIMQD2}

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	2026-05-18T00:42:33.539116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecefa58d253368c1721796d9fa21901e8914ac0e116d0b1e4924b72d2e1d4640

Aliases

arxiv: 1502.04282 · arxiv_version: 1502.04282v3 · doi: 10.48550/arxiv.1502.04282 · pith_short_12: 5TX2LDJFGNUM · pith_short_16: 5TX2LDJFGNUMC4QX · pith_short_8: 5TX2LDJF

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/5TX2LDJFGNUMC4QXS3M7UIMQD2 \
  | 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: ecefa58d253368c1721796d9fa21901e8914ac0e116d0b1e4924b72d2e1d4640

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "624115ca04e8fe21cd80878f4179d60cb6360b6fe189be324d9b436ea64c988f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-02-15T05:07:17Z",
    "title_canon_sha256": "6104f2d498df8af91d1e1fde16a2e643c57a62ed1d159042fcf0f85325f0cafb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04282",
    "kind": "arxiv",
    "version": 3
  }
}