Pith Number

pith:DJD4L4PA

pith:2015:DJD4L4PAY5JMBV7CW2OS5MJTNR

not attested not anchored not stored refs pending

Sobolev spaces and Bochner Laplacian on complex projective varieties and stratified pseudomanifolds

Francesco Bei

arxiv:1505.00439 v4 · 2015-05-03 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJD4L4PAY5JMBV7CW2OS5MJTNR}

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	2026-05-18T01:19:16.131905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a47c5f1e0c752c0d7e2b69d2eb1336c55d266ef645202f16c7c5e4ef6f05cab

Aliases

arxiv: 1505.00439 · arxiv_version: 1505.00439v4 · doi: 10.48550/arxiv.1505.00439 · pith_short_12: DJD4L4PAY5JM · pith_short_16: DJD4L4PAY5JMBV7C · pith_short_8: DJD4L4PA

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/DJD4L4PAY5JMBV7CW2OS5MJTNR \
  | 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: 1a47c5f1e0c752c0d7e2b69d2eb1336c55d266ef645202f16c7c5e4ef6f05cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8835c177c53152e6202db804b2d6e0094e8c9b4c531e7ded026a517db4db1045",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-03T15:13:19Z",
    "title_canon_sha256": "1d0392926b3b7f86647c861ef5227a9fb7682694ec32319b19a47e655eacee7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00439",
    "kind": "arxiv",
    "version": 4
  }
}