Pith Number

pith:7EW4MUHS

pith:2010:7EW4MUHSAOTCESKH6R3QMCEHU4

not attested not anchored not stored refs pending

A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas

H{\aa}kan Samuelsson, Mats Andersson

arxiv:1010.6142 v2 · 2010-10-29 · 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{7EW4MUHSAOTCESKH6R3QMCEHU4}

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	2026-05-18T01:09:22.134680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f92dc650f203a6224947f477060887a7299e935abb1c5d60a2423d6dd8d989bd

Aliases

arxiv: 1010.6142 · arxiv_version: 1010.6142v2 · doi: 10.48550/arxiv.1010.6142 · pith_short_12: 7EW4MUHSAOTC · pith_short_16: 7EW4MUHSAOTCESKH · pith_short_8: 7EW4MUHS

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/7EW4MUHSAOTCESKH6R3QMCEHU4 \
  | 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: f92dc650f203a6224947f477060887a7299e935abb1c5d60a2423d6dd8d989bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb28a9e8063501bb9897c8cf9f6449ca39e46e2177b759194c39266e747ea28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-10-29T07:46:45Z",
    "title_canon_sha256": "ad3239959c7802421346a7053c6fb42a404c50ecb19e25d0f79cab7818b6e68d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6142",
    "kind": "arxiv",
    "version": 2
  }
}