Pith Number

pith:3QUPZVW2

pith:2016:3QUPZVW2BCZJAUM43AZKZCBLLP

not attested not anchored not stored refs pending

On the Gabor frame set for compactly supported continuous functions

Hong Oh Kim, Ole Christensen, Rae Young Kim

arxiv:1602.05717 v1 · 2016-02-18 · 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{3QUPZVW2BCZJAUM43AZKZCBLLP}

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	2026-05-18T01:20:23.440028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc28fcd6da08b290519cd832ac882b5bcbe54397e3ae07bcc358a6e5de1e6679

Aliases

arxiv: 1602.05717 · arxiv_version: 1602.05717v1 · doi: 10.48550/arxiv.1602.05717 · pith_short_12: 3QUPZVW2BCZJ · pith_short_16: 3QUPZVW2BCZJAUM4 · pith_short_8: 3QUPZVW2

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/3QUPZVW2BCZJAUM43AZKZCBLLP \
  | 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: dc28fcd6da08b290519cd832ac882b5bcbe54397e3ae07bcc358a6e5de1e6679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62e629ca51c20e7c3420d05477192abb15083c88daf960c12f557ee047c1747d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-02-18T08:43:56Z",
    "title_canon_sha256": "a4bf23e95060fc9f5f31ee2532c1e57137f8c314faf7e7be8a85a6ff1f6a7d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05717",
    "kind": "arxiv",
    "version": 1
  }
}