Pith Number

pith:MJC77SQI

pith:2015:MJC77SQITL3K6G6HLUZ4UFSHCY

not attested not anchored not stored refs pending

On the direct sum of two bounded linear operators and subspace-hypercyclicity

Adem K{\i}l{\i}\c{c}man, Nareen Bamerni

arxiv:1501.02862 v2 · 2015-01-13 · 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{MJC77SQITL3K6G6HLUZ4UFSHCY}

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	2026-05-18T01:14:26.177788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6245ffca089af6af1bc75d33ca16471620aa56bc17dc92e9b375a247e359963b

Aliases

arxiv: 1501.02862 · arxiv_version: 1501.02862v2 · doi: 10.48550/arxiv.1501.02862 · pith_short_12: MJC77SQITL3K · pith_short_16: MJC77SQITL3K6G6H · pith_short_8: MJC77SQI

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/MJC77SQITL3K6G6HLUZ4UFSHCY \
  | 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: 6245ffca089af6af1bc75d33ca16471620aa56bc17dc92e9b375a247e359963b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc2fa2f7a3269323b3890f32e0b2f4ea460197f4ce444b0516bd795613ebec24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-01-13T01:52:42Z",
    "title_canon_sha256": "c1674481c7d10b578462e557274160b37ffc1a7a7baf041d1d30edb851c7142a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02862",
    "kind": "arxiv",
    "version": 2
  }
}