Pith Number

pith:GVYMY4R3

pith:2019:GVYMY4R3GA4YAHIX3Q4TYR5YHZ

not attested not anchored not stored refs pending

Extra invariance of principal shift invariant spaces and the Zak transform

Carolina A. Mosquera, Davide Barbieri, Eugenio Hernandez

arxiv:1904.10538 v1 · 2019-04-23 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVYMY4R3GA4YAHIX3Q4TYR5YHZ}

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	2026-05-17T23:47:53.470071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3570cc723b3039801d17dc393c47b83e5564d719d0bf55338ea674829d0eec63

Aliases

arxiv: 1904.10538 · arxiv_version: 1904.10538v1 · doi: 10.48550/arxiv.1904.10538 · pith_short_12: GVYMY4R3GA4Y · pith_short_16: GVYMY4R3GA4YAHIX · pith_short_8: GVYMY4R3

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/GVYMY4R3GA4YAHIX3Q4TYR5YHZ \
  | 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: 3570cc723b3039801d17dc393c47b83e5564d719d0bf55338ea674829d0eec63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f519186abab6cb40326891d345eb5a48020d03842eb36bc0ae992245ce5d3469",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-04-23T21:08:56Z",
    "title_canon_sha256": "2a3cfbc470a9cadbc3de2705946e4f6c49d5507f700279430cc6f94cf4c53b00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10538",
    "kind": "arxiv",
    "version": 1
  }
}