Pith Number

pith:UCFLAUTK

pith:2008:UCFLAUTK62E6YPMRGLSWR4UE7R

not attested not anchored not stored refs pending

Koppelman formulas and the $\dbar$-equation on an analytic space

H{\aa}kan Samuelsson, Mats Andersson

arxiv:0801.0710 v3 · 2008-01-04 · 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{UCFLAUTK62E6YPMRGLSWR4UE7R}

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	2026-05-18T01:09:24.549214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a08ab0526af689ec3d9132e568f284fc5ba160affbe023708f45d547c2b17094

Aliases

arxiv: 0801.0710 · arxiv_version: 0801.0710v3 · doi: 10.48550/arxiv.0801.0710 · pith_short_12: UCFLAUTK62E6 · pith_short_16: UCFLAUTK62E6YPMR · pith_short_8: UCFLAUTK

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/UCFLAUTK62E6YPMRGLSWR4UE7R \
  | 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: a08ab0526af689ec3d9132e568f284fc5ba160affbe023708f45d547c2b17094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f93cda51d77af57dcd29e81b73e42a66f2592f75a78bddb4a2a48547ab1b5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2008-01-04T17:19:07Z",
    "title_canon_sha256": "988360515d3066fbfba90c7fabeed6c506a36426f0b433d46227b0bb9f0102b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0710",
    "kind": "arxiv",
    "version": 3
  }
}