Pith Number

pith:FQ67Y6QT

pith:2014:FQ67Y6QTJCXRNK7W5O5DMYWWAH

not attested not anchored not stored refs pending

Exhausting families of representations and spectra of pseudodifferential operators

Nicolas Prudhon, Victor Nistor

arxiv:1411.7921 v4 · 2014-11-28 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQ67Y6QTJCXRNK7W5O5DMYWWAH}

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	2026-05-18T01:23:04.378035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c3dfc7a1348af16abf6ebba3662d601ea06820bd8b7924e91f43a28b3837f89

Aliases

arxiv: 1411.7921 · arxiv_version: 1411.7921v4 · doi: 10.48550/arxiv.1411.7921 · pith_short_12: FQ67Y6QTJCXR · pith_short_16: FQ67Y6QTJCXRNK7W · pith_short_8: FQ67Y6QT

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/FQ67Y6QTJCXRNK7W5O5DMYWWAH \
  | 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: 2c3dfc7a1348af16abf6ebba3662d601ea06820bd8b7924e91f43a28b3837f89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c8dbbe6674ea8e38be1d2ea9fdb8af6057f288536a0d39de7e2905837d5ced7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-11-28T15:59:49Z",
    "title_canon_sha256": "9d325e17e195b7372ff6c3e7c9c403220aa716978b51bf4aa66dca9a23c4ea68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7921",
    "kind": "arxiv",
    "version": 4
  }
}