Pith Number

pith:COPZETFV

pith:2017:COPZETFVZF74ROQPQ4AYKJDNMJ

not attested not anchored not stored refs pending

Directional short-time Fourier transform and directional regularity

Katerina Saneva, Sanja Atanasova, Stevan Pilipovic

arxiv:1707.02831 v2 · 2017-07-10 · 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{COPZETFVZF74ROQPQ4AYKJDNMJ}

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	2026-05-18T00:36:43.025182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

139f924cb5c97fc8ba0f870185246d624305e6eeaf99fa608a9e3be5677c8d5b

Aliases

arxiv: 1707.02831 · arxiv_version: 1707.02831v2 · doi: 10.48550/arxiv.1707.02831 · pith_short_12: COPZETFVZF74 · pith_short_16: COPZETFVZF74ROQP · pith_short_8: COPZETFV

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/COPZETFVZF74ROQPQ4AYKJDNMJ \
  | 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: 139f924cb5c97fc8ba0f870185246d624305e6eeaf99fa608a9e3be5677c8d5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fe8fa8c5d174185d5c5db9c93c17d9793566a8077ef3ac1defb3b1997d85b1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-10T12:55:06Z",
    "title_canon_sha256": "e3441d2644d1cbe2abaeb67381f52a6f369581aec0311711df62e1742d13708b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02831",
    "kind": "arxiv",
    "version": 2
  }
}