Pith Number

pith:LMEW6T4R

pith:2016:LMEW6T4RK7QVEXO7YAF5R2BFNV

not attested not anchored not stored refs pending

On Equivalence and Linearization of Operator Matrix Functions with Unbounded Entries

Axel Torshage, Christian Engstr\"om

arxiv:1612.01373 v2 · 2016-12-05 · 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{LMEW6T4RK7QVEXO7YAF5R2BFNV}

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	2026-05-18T00:34:23.021517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b096f4f9157e1525ddfc00bd8e8256d40b0a245f9be5acbf1946af9b5df6df4

Aliases

arxiv: 1612.01373 · arxiv_version: 1612.01373v2 · doi: 10.48550/arxiv.1612.01373 · pith_short_12: LMEW6T4RK7QV · pith_short_16: LMEW6T4RK7QVEXO7 · pith_short_8: LMEW6T4R

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/LMEW6T4RK7QVEXO7YAF5R2BFNV \
  | 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: 5b096f4f9157e1525ddfc00bd8e8256d40b0a245f9be5acbf1946af9b5df6df4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "847640c00d423cb52035b7a407d159bf17d2c950330aa033a39d42db072fc577",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-05T14:35:22Z",
    "title_canon_sha256": "0f35f88c2850721a429134b59546c2e384b96f4f9257c32e4606317606c9b8df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01373",
    "kind": "arxiv",
    "version": 2
  }
}