Pith Number

pith:TIR27KKR

pith:2020:TIR27KKRV3KF4PGDPEOHXX4M6N

not attested not anchored not stored refs pending

When Ramanujan meets time-frequency analysis in complicated time series analysis

Hau-Tieng Wu, Ziyu Chen

arxiv:2004.00076 v1 · 2020-03-31 · eess.SP · physics.data-an · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIR27KKRV3KF4PGDPEOHXX4M6N}

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	2026-07-05T05:39:44.212061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a23afa951aed45e3cc3791c7bdf8cf35f40234dcbe753ebbfe9517f4125e9c9

Aliases

arxiv: 2004.00076 · arxiv_version: 2004.00076v1 · doi: 10.48550/arxiv.2004.00076 · pith_short_12: TIR27KKRV3KF · pith_short_16: TIR27KKRV3KF4PGD · pith_short_8: TIR27KKR

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/TIR27KKRV3KF4PGDPEOHXX4M6N \
  | 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: 9a23afa951aed45e3cc3791c7bdf8cf35f40234dcbe753ebbfe9517f4125e9c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e56a83f24413ef771174ba971b507a0a12f7ac61dae0eadc6d8196088f3d248",
    "cross_cats_sorted": [
      "physics.data-an",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2020-03-31T19:47:52Z",
    "title_canon_sha256": "0a12651487d011c001a457a72a8bb8de2cf426ccdb0427dd868df7e57ce1bcd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.00076",
    "kind": "arxiv",
    "version": 1
  }
}