Pith Number

pith:M4HQRINB

pith:2010:M4HQRINBRYDPML7O4ZPKWOVA43

not attested not anchored not stored refs pending

Inversion Formula for the Windowed Fourier Transform

Wenchang Sun

arxiv:1006.3967 v2 · 2010-06-20 · 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{M4HQRINBRYDPML7O4ZPKWOVA43}

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	2026-05-18T04:12:44.840392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670f08a1a18e06f62feee65eab3aa0e6e9fdfb18bf979649e3fea27280a5dfe0

Aliases

arxiv: 1006.3967 · arxiv_version: 1006.3967v2 · doi: 10.48550/arxiv.1006.3967 · pith_short_12: M4HQRINBRYDP · pith_short_16: M4HQRINBRYDPML7O · pith_short_8: M4HQRINB

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/M4HQRINBRYDPML7O4ZPKWOVA43 \
  | 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: 670f08a1a18e06f62feee65eab3aa0e6e9fdfb18bf979649e3fea27280a5dfe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7877dfc293a1ceaf420c5959fe9b765a2c0a09b859b443ca32a7b997ac5b396c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-06-20T22:59:53Z",
    "title_canon_sha256": "42434f773b946b7fe75ff2c4821aa914ea26713882c81e59c63db9b2f491d1df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3967",
    "kind": "arxiv",
    "version": 2
  }
}