Pith Number

pith:3CA3BDDF

pith:2016:3CA3BDDFJ7RO4WRH45VWJODM4K

not attested not anchored not stored refs pending

Essential spectrum of non-self-adjoint singular matrix differential operators

Orif O. Ibrogimov

arxiv:1612.05193 v2 · 2016-12-15 · 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{3CA3BDDFJ7RO4WRH45VWJODM4K}

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	2026-05-18T00:48:41.984491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d881b08c654fe2ee5a27e76b64b86ce2b7458b6b37f7f04739fc0b36dda802d2

Aliases

arxiv: 1612.05193 · arxiv_version: 1612.05193v2 · doi: 10.48550/arxiv.1612.05193 · pith_short_12: 3CA3BDDFJ7RO · pith_short_16: 3CA3BDDFJ7RO4WRH · pith_short_8: 3CA3BDDF

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/3CA3BDDFJ7RO4WRH45VWJODM4K \
  | 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: d881b08c654fe2ee5a27e76b64b86ce2b7458b6b37f7f04739fc0b36dda802d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20bf4e6549aad3459bf7addf739c0f9e4c53b9f06818775f53b5faaca198a596",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-12-15T19:04:23Z",
    "title_canon_sha256": "3e2dd8278f8611da232e65fb8e900e6059bee747ad3a4c8b9e77f03d428c5dd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05193",
    "kind": "arxiv",
    "version": 2
  }
}