Pith Number

pith:S4AWKS36

pith:2015:S4AWKS36TMHELM55BZWPAKIWFO

not attested not anchored not stored refs pending

Spectral theory of von Neumann algebra valued differential operators over non-compact manifolds

Maxim Braverman, Simone Cecchini

arxiv:1503.02998 v3 · 2015-03-10 · math.OA · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4AWKS36TMHELM55BZWPAKIWFO}

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	2026-05-18T01:25:47.217407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9701654b7e9b0e45b3bd0e6cf029162bba0bfb28bb53be44422fb1640a56d59c

Aliases

arxiv: 1503.02998 · arxiv_version: 1503.02998v3 · doi: 10.48550/arxiv.1503.02998 · pith_short_12: S4AWKS36TMHE · pith_short_16: S4AWKS36TMHELM55 · pith_short_8: S4AWKS36

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/S4AWKS36TMHELM55BZWPAKIWFO \
  | 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: 9701654b7e9b0e45b3bd0e6cf029162bba0bfb28bb53be44422fb1640a56d59c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0c14c83f9ea4a8e97dd11ee11e505270a210d0f6db345e743a5d25e8c5b3524",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-03-10T17:31:58Z",
    "title_canon_sha256": "149c509464315653750426e16d05563b0ded6bb0896832b5b0597da8aac0d000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02998",
    "kind": "arxiv",
    "version": 3
  }
}