Pith Number

pith:NLAQI72T

pith:2011:NLAQI72TFPNI6PXS7HAQZLDFBU

not attested not anchored not stored refs pending

The Pole Behaviour of the Phase Derivative of the Short-Time Fourier Transform

Dominik Bayer, Florent Jaillet, Peter Balazs, Peter S{\o}ndergaard

arxiv:1103.0409 v2 · 2011-03-02 · 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{NLAQI72TFPNI6PXS7HAQZLDFBU}

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	2026-05-18T01:26:32.184918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac1047f532bda8f3ef2f9c10cac650d2c9cf38dd665ea81a9f2c0ba9f343ac6

Aliases

arxiv: 1103.0409 · arxiv_version: 1103.0409v2 · doi: 10.48550/arxiv.1103.0409 · pith_short_12: NLAQI72TFPNI · pith_short_16: NLAQI72TFPNI6PXS · pith_short_8: NLAQI72T

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/NLAQI72TFPNI6PXS7HAQZLDFBU \
  | 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: 6ac1047f532bda8f3ef2f9c10cac650d2c9cf38dd665ea81a9f2c0ba9f343ac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35dc467848ff4b4ae5af5bb13bd14479646b483e24d5c9bd45505c7042629b9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-02T12:30:47Z",
    "title_canon_sha256": "2fdb441bc69339b73440f8616e2a485bff27c5d87ea94235281b1ee4247641b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0409",
    "kind": "arxiv",
    "version": 2
  }
}