Pith Number

pith:TBMZSWEY

pith:2015:TBMZSWEYZAKKCQPNUXPUHC7LSR

not attested not anchored not stored refs pending

The discrete spectrum of Jacobi matrix related to recurrence relations with periodic coefficients

E.V. Damaskinsky, V.V. Borzov

arxiv:1502.08021 v1 · 2015-02-27 · 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{TBMZSWEYZAKKCQPNUXPUHC7LSR}

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	2026-05-18T02:26:01.567335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9859995898c814a141eda5df438beb946b4670a623b671c62cff9331a6007ccd

Aliases

arxiv: 1502.08021 · arxiv_version: 1502.08021v1 · doi: 10.48550/arxiv.1502.08021 · pith_short_12: TBMZSWEYZAKK · pith_short_16: TBMZSWEYZAKKCQPN · pith_short_8: TBMZSWEY

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/TBMZSWEYZAKKCQPNUXPUHC7LSR \
  | 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: 9859995898c814a141eda5df438beb946b4670a623b671c62cff9331a6007ccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b342b6f68b723871fa40bc63667ee433c7ff9533dbe6f0bfc33abc68897b76a3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-27T19:13:11Z",
    "title_canon_sha256": "f7e68f6b90494b637a8de9ead851b290b238147f2ddc603cd3cb281511f70eca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.08021",
    "kind": "arxiv",
    "version": 1
  }
}