Pith Number

pith:KIRIIRTT

pith:2016:KIRIIRTTSL2WTG5DWJA55G3S52

not attested not anchored not stored refs pending

The $\alpha$-Modulation Transform: Admissibility, Coorbit Theory and Frames of Compactly Supported Functions

Dominik Bayer, Michael Speckbacher, Peter Balazs, Stephan Dahlke

arxiv:1603.00324 v1 · 2016-03-01 · 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{KIRIIRTTSL2WTG5DWJA55G3S52}

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	2026-05-18T01:19:45.348855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

522284467392f5699ba3b241de9b72ee9dd86582e91094a3d7a20f0fa07b10f4

Aliases

arxiv: 1603.00324 · arxiv_version: 1603.00324v1 · doi: 10.48550/arxiv.1603.00324 · pith_short_12: KIRIIRTTSL2W · pith_short_16: KIRIIRTTSL2WTG5D · pith_short_8: KIRIIRTT

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/KIRIIRTTSL2WTG5DWJA55G3S52 \
  | 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: 522284467392f5699ba3b241de9b72ee9dd86582e91094a3d7a20f0fa07b10f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c7cfd56d961d0e1838e88f373cbcb78ac9c61f9d8f2daf90f4e6b9c59a285a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-01T15:37:33Z",
    "title_canon_sha256": "36e6fd2e3ccb234ed8bfe987b94da0c555beb3817b4c71aaa8a46c5bef1ea5c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00324",
    "kind": "arxiv",
    "version": 1
  }
}