Pith Number

pith:LAZ67S23

pith:2019:LAZ67S23DXDOZ2GVFCWKRW7PA4

not attested not anchored not stored refs pending

Closed range estimates for $\bar\partial_b$ on CR manifolds of hypersurface type

Andrew Raich, Joel Coacalle

arxiv:1904.10836 v1 · 2019-04-24 · math.CV · 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{LAZ67S23DXDOZ2GVFCWKRW7PA4}

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	2026-05-17T23:47:49.897788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5833efcb5b1dc6ece8d528aca8dbef073a5b5eabd9cb8eb7925709e133bb50df

Aliases

arxiv: 1904.10836 · arxiv_version: 1904.10836v1 · doi: 10.48550/arxiv.1904.10836 · pith_short_12: LAZ67S23DXDO · pith_short_16: LAZ67S23DXDOZ2GV · pith_short_8: LAZ67S23

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/LAZ67S23DXDOZ2GVFCWKRW7PA4 \
  | 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: 5833efcb5b1dc6ece8d528aca8dbef073a5b5eabd9cb8eb7925709e133bb50df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4604c93f563105415c101a0fc28baece364b829e4fbe295e7cf92d1ae758163b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-04-24T14:16:42Z",
    "title_canon_sha256": "4f688ee2797460fb9be70c5828a57d7cffb09924b32b4847fde13d83ca07c44b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10836",
    "kind": "arxiv",
    "version": 1
  }
}