Pith Number

pith:QROJ6VFR

pith:2015:QROJ6VFRKW46FB6ETEQNISPFKB

not attested not anchored not stored refs pending

A formula for eigenvalues of Jacobi matrices with a reflection symmetry

S. B. Rutkevich

arxiv:1510.01860 v3 · 2015-10-07 · 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{QROJ6VFRKW46FB6ETEQNISPFKB}

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	2026-05-18T00:03:00.637483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

845c9f54b155b9e287c49920d449e55046fe606997c335550d1dca9f8c1da90c

Aliases

arxiv: 1510.01860 · arxiv_version: 1510.01860v3 · doi: 10.48550/arxiv.1510.01860 · pith_short_12: QROJ6VFRKW46 · pith_short_16: QROJ6VFRKW46FB6E · pith_short_8: QROJ6VFR

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/QROJ6VFRKW46FB6ETEQNISPFKB \
  | 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: 845c9f54b155b9e287c49920d449e55046fe606997c335550d1dca9f8c1da90c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05012f8c0de0aa2a8fbfc31d7103a2476302341b0bcdfbd74f379213d6e844ba",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-07T08:45:27Z",
    "title_canon_sha256": "43216dff586ec076889f73d1459d33effc2cc17888abfad1f90fef4cc2b9515a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01860",
    "kind": "arxiv",
    "version": 3
  }
}