Pith Number

pith:P3U5O3DF

pith:2018:P3U5O3DF6LCIERUHGJ6BHQS4YK

not attested not anchored not stored refs pending

Semi-direct product of groups, filter banks and sampling

Antonio G. Garc\'ia, Gerardo P\'erez-Villal\'on, Miguel A. Hern\'andez-Medina

arxiv:1804.04974 v1 · 2018-04-13 · 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{P3U5O3DF6LCIERUHGJ6BHQS4YK}

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	2026-05-18T00:18:32.553168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee9d76c65f2c4824687327c13c25cc290b750438f0206a8b6686de57624f756

Aliases

arxiv: 1804.04974 · arxiv_version: 1804.04974v1 · doi: 10.48550/arxiv.1804.04974 · pith_short_12: P3U5O3DF6LCI · pith_short_16: P3U5O3DF6LCIERUH · pith_short_8: P3U5O3DF

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/P3U5O3DF6LCIERUHGJ6BHQS4YK \
  | 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: 7ee9d76c65f2c4824687327c13c25cc290b750438f0206a8b6686de57624f756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "746cecccc0f165acd32eed7363bb8b2b5cf8c99cf7e0e281e678a735a46aacb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-13T14:53:54Z",
    "title_canon_sha256": "05ec768d8025cfa1cb0940403dd6fc9b79fb81b119f870fcc08dfcdedeb4cc35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04974",
    "kind": "arxiv",
    "version": 1
  }
}