Pith Number

pith:Y6HQSLJL

pith:2015:Y6HQSLJLAFFS4QFH4IFJSEBUML

not attested not anchored not stored refs pending

Eigenfunctions of Underspread Linear Communication Systems

Mikhail Tsitsvero, Sergio Barbarossa

arxiv:1510.04122 v1 · 2015-10-14 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6HQSLJLAFFS4QFH4IFJSEBUML}

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	2026-05-18T01:30:09.160858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c78f092d2b014b2e40a7e20a99103462eb721bd861c859aa86383e44cfc8ae48

Aliases

arxiv: 1510.04122 · arxiv_version: 1510.04122v1 · doi: 10.48550/arxiv.1510.04122 · pith_short_12: Y6HQSLJLAFFS · pith_short_16: Y6HQSLJLAFFS4QFH · pith_short_8: Y6HQSLJL

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/Y6HQSLJLAFFS4QFH4IFJSEBUML \
  | 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: c78f092d2b014b2e40a7e20a99103462eb721bd861c859aa86383e44cfc8ae48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d8b61f18eb4d060f4a9c4c3f1817a385756f6d00a29003d301aa86c4ee08590",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-14T14:42:00Z",
    "title_canon_sha256": "0ee27b264ce905ec435e82c429a64fb66c37c06936d70d5a05e362411c3ad134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04122",
    "kind": "arxiv",
    "version": 1
  }
}