Pith Number

pith:XJSY3VUM

pith:2015:XJSY3VUMUG27N5YR3DSHK5TPT7

not attested not anchored not stored refs pending

On the correspondence between spectra of the operator pencil $A-\lambda B$ and of the operator $B^{-1}A$

Ivica Naki\'c

arxiv:1506.05155 v2 · 2015-06-16 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJSY3VUMUG27N5YR3DSHK5TPT7}

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	2026-05-18T01:31:13.592190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba658dd68ca1b5f6f711d8e475766f9ff4a61e00bd1ceacf5dcbb568270594ee

Aliases

arxiv: 1506.05155 · arxiv_version: 1506.05155v2 · doi: 10.48550/arxiv.1506.05155 · pith_short_12: XJSY3VUMUG27 · pith_short_16: XJSY3VUMUG27N5YR · pith_short_8: XJSY3VUM

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/XJSY3VUMUG27N5YR3DSHK5TPT7 \
  | 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: ba658dd68ca1b5f6f711d8e475766f9ff4a61e00bd1ceacf5dcbb568270594ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb1bb3122fbad100b80ee1c33f743a538643c680205c9e347d2c930a888823cb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-06-16T21:45:07Z",
    "title_canon_sha256": "78ffd8cedddccebe1925c96fd58d0bd545282b30ede4c2d2ccc7c082d08a1107"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05155",
    "kind": "arxiv",
    "version": 2
  }
}