Pith Number

pith:ZJWLU7NM

pith:2015:ZJWLU7NMVOA6N5ORVDQZPEIHU7

not attested not anchored not stored refs pending

On the nonvanishing of abstract Cauchy-Riemann cohomology groups

C. Denson Hill, Judith Brinkschulte, Mauro Nacinovich

arxiv:1509.04461 v1 · 2015-09-15 · math.CV · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJWLU7NMVOA6N5ORVDQZPEIHU7}

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	2026-05-18T00:10:04.535399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca6cba7dacab81e6f5d1a8e1979107a7cd3b7c1d6bd39b4f820ba24dddd32c56

Aliases

arxiv: 1509.04461 · arxiv_version: 1509.04461v1 · doi: 10.48550/arxiv.1509.04461 · pith_short_12: ZJWLU7NMVOA6 · pith_short_16: ZJWLU7NMVOA6N5OR · pith_short_8: ZJWLU7NM

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/ZJWLU7NMVOA6N5ORVDQZPEIHU7 \
  | 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: ca6cba7dacab81e6f5d1a8e1979107a7cd3b7c1d6bd39b4f820ba24dddd32c56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "943a7c240b55a0cf0fb4c45c6e2e8718c60a6f3e168cac72a9c1e87e8512d2ff",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-09-15T09:31:08Z",
    "title_canon_sha256": "4ab50b2283bd7ef204b377c3bfdc8f646d6343e8b3ccef153de1c14675ad2f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04461",
    "kind": "arxiv",
    "version": 1
  }
}