Pith Number

pith:MNSFFIU2

pith:2017:MNSFFIU275EEB2TTKHFE5UHSPF

not attested not anchored not stored refs pending

Shift-invariant Spaces with Countably Many Mutually Orthogonal Generators on the Heisenberg group

R. Radha, Saswata Adhikari

arxiv:1711.06902 v2 · 2017-11-18 · 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{MNSFFIU275EEB2TTKHFE5UHSPF}

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	2026-05-18T00:29:45.174447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

636452a29aff4840ea7351ca4ed0f27968df66039a8d631928797e508de3b924

Aliases

arxiv: 1711.06902 · arxiv_version: 1711.06902v2 · doi: 10.48550/arxiv.1711.06902 · pith_short_12: MNSFFIU275EE · pith_short_16: MNSFFIU275EEB2TT · pith_short_8: MNSFFIU2

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/MNSFFIU275EEB2TTKHFE5UHSPF \
  | 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: 636452a29aff4840ea7351ca4ed0f27968df66039a8d631928797e508de3b924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf0e467b1571baf1085e6f441a3eecbbc7b4048e7824c4d53b92e3472f74c195",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-18T17:17:54Z",
    "title_canon_sha256": "7c7abaa22ccc1071715ea6daac3ef64a08149df60c5cb0eac27931beb6d4b0d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06902",
    "kind": "arxiv",
    "version": 2
  }
}