Pith Number

pith:VDU3HUZ6

pith:2012:VDU3HUZ6DWWYDJ7YK7JPIRI3WB

not attested not anchored not stored refs pending

Oversampling of wavelet frames for real dilations

Jakob Lemvig, Marcin Bownik

arxiv:1204.2967 v1 · 2012-04-13 · 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{VDU3HUZ6DWWYDJ7YK7JPIRI3WB}

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	2026-05-18T03:57:54.391006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8e9b3d33e1dad81a7f857d2f4451bb06e428aac4fb701b7bdc0dfc6a6f396cf

Aliases

arxiv: 1204.2967 · arxiv_version: 1204.2967v1 · doi: 10.48550/arxiv.1204.2967 · pith_short_12: VDU3HUZ6DWWY · pith_short_16: VDU3HUZ6DWWYDJ7Y · pith_short_8: VDU3HUZ6

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/VDU3HUZ6DWWYDJ7YK7JPIRI3WB \
  | 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: a8e9b3d33e1dad81a7f857d2f4451bb06e428aac4fb701b7bdc0dfc6a6f396cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c1937b6641b95e8b735131e94a2bec1b0f9e39931fdfd81b71e2c8510ecca72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-13T12:13:52Z",
    "title_canon_sha256": "5be7bf3eb0ff9de5835d351bcc9e3bfc6983befb19c3dcaaf9ec5ac93dfcc378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2967",
    "kind": "arxiv",
    "version": 1
  }
}