Pith Number

pith:KMYQTDW4

pith:2017:KMYQTDW4VVKT76B52SCEM2VBJR

not attested not anchored not stored refs pending

Accumulation of Complex Eigenvalues of a Class of Analytic Operator Functions

Axel Torshage, Christian Engstr\"om

arxiv:1709.01462 v2 · 2017-09-05 · 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{KMYQTDW4VVKT76B52SCEM2VBJR}

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	2026-05-18T00:19:17.050432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5331098edcad553ff83dd484466aa14c64302d007b508365a3f7a03a09182138

Aliases

arxiv: 1709.01462 · arxiv_version: 1709.01462v2 · doi: 10.48550/arxiv.1709.01462 · pith_short_12: KMYQTDW4VVKT · pith_short_16: KMYQTDW4VVKT76B5 · pith_short_8: KMYQTDW4

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/KMYQTDW4VVKT76B52SCEM2VBJR \
  | 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: 5331098edcad553ff83dd484466aa14c64302d007b508365a3f7a03a09182138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae2a6bd816db4292051e84d9309deaafbe83ab9b59ebe22b2f14ece2bd0ae23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-05T15:43:31Z",
    "title_canon_sha256": "4bcf3eb23cf76d99d73573831e07e72a6e155774131857af014766ade8b7a4a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01462",
    "kind": "arxiv",
    "version": 2
  }
}