Pith Number

pith:KBD6GIGO

pith:2013:KBD6GIGOX2DPPBY2T6Q6TU7645

not attested not anchored not stored refs pending

The Regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients

Carlos Kenig, Jill Pipher, Steve Hofmann, Svitlana Mayboroda

arxiv:1301.5209 v2 · 2013-01-22 · 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{KBD6GIGOX2DPPBY2T6Q6TU7645}

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	2026-05-18T02:48:47.170209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5047e320cebe86f7871a9fa1e9d3fee7764cfd4b7653f90451b02d988e133303

Aliases

arxiv: 1301.5209 · arxiv_version: 1301.5209v2 · doi: 10.48550/arxiv.1301.5209 · pith_short_12: KBD6GIGOX2DP · pith_short_16: KBD6GIGOX2DPPBY2 · pith_short_8: KBD6GIGO

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/KBD6GIGOX2DPPBY2T6Q6TU7645 \
  | 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: 5047e320cebe86f7871a9fa1e9d3fee7764cfd4b7653f90451b02d988e133303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0db491a4707d4f4e859d2e33a06af2352c7e1c31fc40fa36adb1eb291c531e7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-22T15:14:42Z",
    "title_canon_sha256": "5718fe32ea5d8c47be283663f88c3fd19f50df04e33bada6a9e2a62c701ef2d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5209",
    "kind": "arxiv",
    "version": 2
  }
}