Pith Number

pith:BUVTEQ44

pith:2018:BUVTEQ44NOMKWANZTP3WCZLCON

not attested not anchored not stored refs pending

Modulation Spaces as a Smooth Structure in Noncommutative Geometry

Are Austad, Franz Luef

arxiv:1809.11063 v3 · 2018-09-28 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUVTEQ44NOMKWANZTP3WCZLCON}

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	2026-05-17T23:44:07.582639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d2b32439c6b98ab01b99bf761656273472bf0aa579073da6376c505e1006d38

Aliases

arxiv: 1809.11063 · arxiv_version: 1809.11063v3 · doi: 10.48550/arxiv.1809.11063 · pith_short_12: BUVTEQ44NOMK · pith_short_16: BUVTEQ44NOMKWANZ · pith_short_8: BUVTEQ44

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/BUVTEQ44NOMKWANZTP3WCZLCON \
  | 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: 0d2b32439c6b98ab01b99bf761656273472bf0aa579073da6376c505e1006d38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea530f84b98567f94253fc0d77c6b72212a94074510ef059f2a2ca24744cecd2",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-09-28T14:38:38Z",
    "title_canon_sha256": "c3336fa7769e674e79271d7063116c9d1e0cfd2d9a3266dadbf977e2da986012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.11063",
    "kind": "arxiv",
    "version": 3
  }
}