Pith Number

pith:UPC2CUT6

pith:2006:UPC2CUT64NDFUUIJPTGVOI3LKZ

not attested not anchored not stored refs pending

Weighted Sobolev spaces and regularity for polyhedral domains

Bernd Ammann (IECN), Victor Nistor (Penn State University)

arxiv:math/0609101 v2 · 2006-09-04 · 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{UPC2CUT64NDFUUIJPTGVOI3LKZ}

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	2026-05-18T01:28:44.713798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3c5a1527ee3465a51097ccd57236b5643b8b5e3dd9609d748531a77c21f587a

Aliases

arxiv: math/0609101 · arxiv_version: math/0609101v2 · doi: 10.48550/arxiv.math/0609101 · pith_short_12: UPC2CUT64NDF · pith_short_16: UPC2CUT64NDFUUIJ · pith_short_8: UPC2CUT6

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/UPC2CUT64NDFUUIJPTGVOI3LKZ \
  | 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: a3c5a1527ee3465a51097ccd57236b5643b8b5e3dd9609d748531a77c21f587a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d15454b3a46267ad6e2ce3229722fea03f3c7e015893055ff4d2565e2e20c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2006-09-04T14:42:15Z",
    "title_canon_sha256": "c16fd48d127b6a2a00904f0124814232e2951cdc4f0680ad6f1e1f48773fb25b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609101",
    "kind": "arxiv",
    "version": 2
  }
}