Pith Number

pith:ZPPSEWYT

pith:2017:ZPPSEWYT4V5BYHLAD7ZJLTOX4L

not attested not anchored not stored refs pending

Reducibility of WCE operators on $L^2(\mathcal{F})$

Yousef Estaremi

arxiv:1708.07345 v1 · 2017-08-24 · 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{ZPPSEWYT4V5BYHLAD7ZJLTOX4L}

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	2026-05-18T00:36:46.492999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbdf225b13e57a1c1d601ff295cdd7e2d479c034a1d05ebd68b2c429f1b4aa42

Aliases

arxiv: 1708.07345 · arxiv_version: 1708.07345v1 · doi: 10.48550/arxiv.1708.07345 · pith_short_12: ZPPSEWYT4V5B · pith_short_16: ZPPSEWYT4V5BYHLA · pith_short_8: ZPPSEWYT

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/ZPPSEWYT4V5BYHLAD7ZJLTOX4L \
  | 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: cbdf225b13e57a1c1d601ff295cdd7e2d479c034a1d05ebd68b2c429f1b4aa42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f7bbb29d0cb66072c706156b63c753bd7c9e2c0aeeceda265ea07bc2043d51c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-24T10:25:28Z",
    "title_canon_sha256": "f036f8ef097b7d848887a78dbc4bc19800275bf12afff067b813d2541d379138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07345",
    "kind": "arxiv",
    "version": 1
  }
}