Pith Number

pith:CUDGZ6SX

pith:2016:CUDGZ6SXZT5FFHVR2K5BJI4KPB

not attested not anchored not stored refs pending

Stability results for Gabor frames and the p-order hold models

Laura De Carli, Pierluigi Vellucci

arxiv:1605.01706 v3 · 2016-05-05 · 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{CUDGZ6SXZT5FFHVR2K5BJI4KPB}

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	2026-05-18T00:34:00.018127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15066cfa57ccfa529eb1d2ba14a38a787f122ff0faf9a4a424752f5af9efc73b

Aliases

arxiv: 1605.01706 · arxiv_version: 1605.01706v3 · doi: 10.48550/arxiv.1605.01706 · pith_short_12: CUDGZ6SXZT5F · pith_short_16: CUDGZ6SXZT5FFHVR · pith_short_8: CUDGZ6SX

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/CUDGZ6SXZT5FFHVR2K5BJI4KPB \
  | 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: 15066cfa57ccfa529eb1d2ba14a38a787f122ff0faf9a4a424752f5af9efc73b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "379721b4aafc1c8cb4495e1520232410a161a4bfb0350b980aadd533f416dc1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-05T19:43:55Z",
    "title_canon_sha256": "489064f5f9b009f8fc7349395602d4f58efea47fdcaf1f01ce9fdb70d1672315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01706",
    "kind": "arxiv",
    "version": 3
  }
}