Pith Number

pith:FWT2OPRA

pith:2015:FWT2OPRAJKSC7B3SKIVR2LFE2B

not attested not anchored not stored refs pending

A time-frequency density criterion for operator identification

G\"otz E. Pfander, Niklas Grip, Peter Rashkov

arxiv:1504.05730 v1 · 2015-04-22 · 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{FWT2OPRAJKSC7B3SKIVR2LFE2B}

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	2026-05-18T02:18:12.830934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2da7a73e204aa42f8772522b1d2ca4d04690fdda02c4b14c938eb134ecc264dd

Aliases

arxiv: 1504.05730 · arxiv_version: 1504.05730v1 · doi: 10.48550/arxiv.1504.05730 · pith_short_12: FWT2OPRAJKSC · pith_short_16: FWT2OPRAJKSC7B3S · pith_short_8: FWT2OPRA

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/FWT2OPRAJKSC7B3SKIVR2LFE2B \
  | 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: 2da7a73e204aa42f8772522b1d2ca4d04690fdda02c4b14c938eb134ecc264dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d785325fb0dc27c8a524bc7f99dbe34e4661ffa18473ebbed74e697e380c27a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-22T11:04:44Z",
    "title_canon_sha256": "43f683a179ac0bbf217935be8f14cdb0fccf3497f01edab23d1e45960f5be2ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05730",
    "kind": "arxiv",
    "version": 1
  }
}