Pith Number

pith:DU2MNNAQ

pith:2010:DU2MNNAQOIQK4AYDPMBPRR22O5

not attested not anchored not stored refs pending

The complex Green operator on CR-submanifolds of $\mathbb{C}^{n}$ of hypersurface type: compactness

Emil J. Straube

arxiv:1007.0775 v2 · 2010-07-05 · 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{DU2MNNAQOIQK4AYDPMBPRR22O5}

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	2026-05-18T04:42:24.169588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d34c6b4107220ae03037b02f8c75a775b7cd1ae04a53eeb10a60fa87f7b8eec

Aliases

arxiv: 1007.0775 · arxiv_version: 1007.0775v2 · doi: 10.48550/arxiv.1007.0775 · pith_short_12: DU2MNNAQOIQK · pith_short_16: DU2MNNAQOIQK4AYD · pith_short_8: DU2MNNAQ

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/DU2MNNAQOIQK4AYDPMBPRR22O5 \
  | 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: 1d34c6b4107220ae03037b02f8c75a775b7cd1ae04a53eeb10a60fa87f7b8eec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55fb051381e0f2d711d407dc3b77da2594489245001280c008fa8e90f036acbb",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-07-05T21:45:20Z",
    "title_canon_sha256": "71a9bf1c3dd56c212c3d585017ec5e0b57490ba7d0a3b065a3b5311338badae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0775",
    "kind": "arxiv",
    "version": 2
  }
}