Pith Number

pith:XEPVN2WR

pith:2013:XEPVN2WRWEPCNCDWQN6JEN5AAQ

not attested not anchored not stored refs pending

Hyperexpansive weighted composition operators

Yousef Estaremi

arxiv:1312.2067 v3 · 2013-12-07 · 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{XEPVN2WRWEPCNCDWQN6JEN5AAQ}

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	2026-05-18T02:58:32.253259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91f56ead1b11e268876837c9237a0043a3401fa869528be3b575870bee53282

Aliases

arxiv: 1312.2067 · arxiv_version: 1312.2067v3 · doi: 10.48550/arxiv.1312.2067 · pith_short_12: XEPVN2WRWEPC · pith_short_16: XEPVN2WRWEPCNCDW · pith_short_8: XEPVN2WR

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/XEPVN2WRWEPCNCDWQN6JEN5AAQ \
  | 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: b91f56ead1b11e268876837c9237a0043a3401fa869528be3b575870bee53282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c003e6a2d00191f883833c710209e327b693ee717aa6f2943268b7fa5705650",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-12-07T07:37:11Z",
    "title_canon_sha256": "11c90e4ec9373650795540286d4cdfb6abd579d0586ca7db586a0e9a9e398704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2067",
    "kind": "arxiv",
    "version": 3
  }
}