Pith Number

pith:WQLTB4BW

pith:2018:WQLTB4BWYOAAFTXMHCRRIPNQY3

not attested not anchored not stored refs pending

The Serre-Swan theorem for normed modules

Danka Lu\v{c}i\'c, Enrico Pasqualetto

arxiv:1803.02911 v1 · 2018-03-07 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQLTB4BWYOAAFTXMHCRRIPNQY3}

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	2026-05-18T00:21:45.006892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b41730f036c38002ceec38a3143db0c6e02ce119ef3c4efa9270272463599ee4

Aliases

arxiv: 1803.02911 · arxiv_version: 1803.02911v1 · doi: 10.48550/arxiv.1803.02911 · pith_short_12: WQLTB4BWYOAA · pith_short_16: WQLTB4BWYOAAFTXM · pith_short_8: WQLTB4BW

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/WQLTB4BWYOAAFTXMHCRRIPNQY3 \
  | 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: b41730f036c38002ceec38a3143db0c6e02ce119ef3c4efa9270272463599ee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55105fc708132d215f01654ab61ff8fcd34044722f94fbe700e288b14ed91221",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-03-07T23:10:52Z",
    "title_canon_sha256": "989f9d20c9333e905f02b7cdbb86e44cc423ef493743e1c5fd381cc5ffb97691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02911",
    "kind": "arxiv",
    "version": 1
  }
}