Pith Number

pith:NGBAIEHP

pith:2015:NGBAIEHPCAAG2ECYRVWGVPFM5J

not attested not anchored not stored refs pending

The Loewner-Nirenberg problem in singular domains

Qing Han, Weiming Shen

arxiv:1511.01146 v1 · 2015-11-03 · 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{NGBAIEHPCAAG2ECYRVWGVPFM5J}

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	2026-05-18T01:27:47.964400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69820410ef10006d10588d6c6abcacea640450b5cf1385180fae6f46489f2428

Aliases

arxiv: 1511.01146 · arxiv_version: 1511.01146v1 · doi: 10.48550/arxiv.1511.01146 · pith_short_12: NGBAIEHPCAAG · pith_short_16: NGBAIEHPCAAG2ECY · pith_short_8: NGBAIEHP

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/NGBAIEHPCAAG2ECYRVWGVPFM5J \
  | 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: 69820410ef10006d10588d6c6abcacea640450b5cf1385180fae6f46489f2428

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8558e0e93d4d69e0d8aa46c9c77ed4876b9511b5dffbbf3938df6ebcb98c98a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-03T22:33:24Z",
    "title_canon_sha256": "0684663115c4cf6e14011fb46eacef4df2654332fa4759c0f21eebb12bc6f5a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01146",
    "kind": "arxiv",
    "version": 1
  }
}