Pith Number

pith:24MOJK75

pith:2011:24MOJK755SHMZLPA7KWZYHP7AC

not attested not anchored not stored refs pending

Multi-window Gabor frames in amalgam spaces

Ilya A. Krishtal, Jens G. Christensen, Jos\'e Luis Romero, Kasso A. Okoudjou, Radu Balan

arxiv:1108.6108 v2 · 2011-08-31 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24MOJK755SHMZLPA7KWZYHP7AC}

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	2026-05-18T02:32:14.790923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d718e4abfdec8eccade0faad9c1dff00b0d7b22de46813951f59a395529d5b4b

Aliases

arxiv: 1108.6108 · arxiv_version: 1108.6108v2 · doi: 10.48550/arxiv.1108.6108 · pith_short_12: 24MOJK755SHM · pith_short_16: 24MOJK755SHMZLPA · pith_short_8: 24MOJK75

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/24MOJK755SHMZLPA7KWZYHP7AC \
  | 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: d718e4abfdec8eccade0faad9c1dff00b0d7b22de46813951f59a395529d5b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a05bf89d519d0f58386b70989623d9afc9cf979c6902d82a12f9433b2494daa",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-31T01:37:28Z",
    "title_canon_sha256": "a28a9afd4fbe8423ba8b31c7a1fdfbff5ee019baf7cd104f65b19ef76f290027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6108",
    "kind": "arxiv",
    "version": 2
  }
}