Pith Number

pith:GBR7TU3G

pith:2011:GBR7TU3GDIUXDLQUNDXVUTLOV5

not attested not anchored not stored refs pending

An orthogonal polynomial analogue of the Landau-Pollak-Slepian time-frequency analysis

Wolfgang Erb

arxiv:1104.0615 v2 · 2011-04-04 · 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{GBR7TU3GDIUXDLQUNDXVUTLOV5}

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	2026-05-18T04:00:02.783221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3063f9d3661a2971ae1468ef5a4d6eaf421f8f45b2c46a2fbc498f8a5ecdd221

Aliases

arxiv: 1104.0615 · arxiv_version: 1104.0615v2 · doi: 10.48550/arxiv.1104.0615 · pith_short_12: GBR7TU3GDIUX · pith_short_16: GBR7TU3GDIUXDLQU · pith_short_8: GBR7TU3G

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/GBR7TU3GDIUXDLQUNDXVUTLOV5 \
  | 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: 3063f9d3661a2971ae1468ef5a4d6eaf421f8f45b2c46a2fbc498f8a5ecdd221

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d150d27c88f097a87dfc7a93fe4f4fdede704f827f79833331422285c1c4a8eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-04-04T16:31:01Z",
    "title_canon_sha256": "79693dd504fc23233f8cf44a9ed443a80efa3453375a25c6a648ab70f8b99dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0615",
    "kind": "arxiv",
    "version": 2
  }
}