Pith Number

pith:CWEVA4DD

pith:2010:CWEVA4DDXZGLPPJVWKS3X34FQM

not attested not anchored not stored refs pending

Hyperbolic hypercomplex D-bar operators, hyperbolic CR-equations and harmonicity

Lilia N. Apostolova, Peter Stoev, Stancho Dimiev

arxiv:1012.3420 v1 · 2010-12-15 · 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{CWEVA4DDXZGLPPJVWKS3X34FQM}

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	2026-05-18T04:33:16.871098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1589507063be4cb7bd35b2a5bbef85831b40f78e795dbaf299f55dd7eaeab797

Aliases

arxiv: 1012.3420 · arxiv_version: 1012.3420v1 · doi: 10.48550/arxiv.1012.3420 · pith_short_12: CWEVA4DDXZGL · pith_short_16: CWEVA4DDXZGLPPJV · pith_short_8: CWEVA4DD

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/CWEVA4DDXZGLPPJVWKS3X34FQM \
  | 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: 1589507063be4cb7bd35b2a5bbef85831b40f78e795dbaf299f55dd7eaeab797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a9b8e902d4f00e8d924e84def30e49cad473f66b298e3859e7729af11c29598",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-12-15T18:41:48Z",
    "title_canon_sha256": "f17425fbb9acb71057442952af56990ffc21156327d090bc968b2887d37b9525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3420",
    "kind": "arxiv",
    "version": 1
  }
}