Pith Number

pith:VUPP5HG7

pith:2013:VUPP5HG7MTWQIPEDQ45EJU2S3K

not attested not anchored not stored refs pending

Sequences with Minimal Time-Frequency Uncertainty

Martin Vetterli, Reza Parhizkar, Yann Barbotin

arxiv:1302.2082 v3 · 2013-02-08 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUPP5HG7MTWQIPEDQ45EJU2S3K}

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	2026-05-18T03:02:05.740340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad1efe9cdf64ed043c83873a44d352dabac485cfed80cd0c9b326400f0a2ed7d

Aliases

arxiv: 1302.2082 · arxiv_version: 1302.2082v3 · doi: 10.48550/arxiv.1302.2082 · pith_short_12: VUPP5HG7MTWQ · pith_short_16: VUPP5HG7MTWQIPED · pith_short_8: VUPP5HG7

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/VUPP5HG7MTWQIPEDQ45EJU2S3K \
  | 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: ad1efe9cdf64ed043c83873a44d352dabac485cfed80cd0c9b326400f0a2ed7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5079a9117cf9cc41e50ef9c18a1906ab68431f170286df7e7513f3eda6dd2a7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-02-08T16:49:22Z",
    "title_canon_sha256": "7cba4519d679727eef2e6c41e647172bb7170a3ac17f96ec4aeeaf15d66e9560"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2082",
    "kind": "arxiv",
    "version": 3
  }
}