Pith Number

pith:HPZVYEUQ

pith:2018:HPZVYEUQIUMRIUXLGKJKANPDMX

not attested not anchored not stored refs pending

On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time

A. S. Mikhaylov, S. A. Simonov, V. S. Mikhaylov

arxiv:1812.11041 v1 · 2018-12-28 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPZVYEUQIUMRIUXLGKJKANPDMX}

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	2026-05-17T23:57:08.119801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf35c129045191452eb3292a035e365c14191df32bc08235e16acbeb88966e9

Aliases

arxiv: 1812.11041 · arxiv_version: 1812.11041v1 · doi: 10.48550/arxiv.1812.11041 · pith_short_12: HPZVYEUQIUMR · pith_short_16: HPZVYEUQIUMRIUXL · pith_short_8: HPZVYEUQ

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/HPZVYEUQIUMRIUXLGKJKANPDMX \
  | 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: 3bf35c129045191452eb3292a035e365c14191df32bc08235e16acbeb88966e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cae45e5b476b2c374e63d0be5c13c6c50c6b11535e222dc81b9f7ede6b8d7ce",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-12-28T15:27:18Z",
    "title_canon_sha256": "e9c26294c2b68a7ef395a6a9b59caa4db3600a6d07c81aeefc63ac9a9ca089ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11041",
    "kind": "arxiv",
    "version": 1
  }
}