Pith Number

pith:YA33EM3N

pith:2011:YA33EM3NKYLEBA2OVJ2AYWSVGG

not attested not anchored not stored refs pending

Root System of a Perturbation of a Selfadjoint Operator with Discrete Spectrum

Boris Mityagin, James Adduci

arxiv:1104.0915 v1 · 2011-04-05 · math.SP · 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{YA33EM3NKYLEBA2OVJ2AYWSVGG}

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	2026-05-18T04:25:02.313035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c037b2336d561640834eaa740c5a5531b96ed51a2b00ac8b0e696662063fadaf

Aliases

arxiv: 1104.0915 · arxiv_version: 1104.0915v1 · doi: 10.48550/arxiv.1104.0915 · pith_short_12: YA33EM3NKYLE · pith_short_16: YA33EM3NKYLEBA2O · pith_short_8: YA33EM3N

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/YA33EM3NKYLEBA2OVJ2AYWSVGG \
  | 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: c037b2336d561640834eaa740c5a5531b96ed51a2b00ac8b0e696662063fadaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b9db776fb9c38e8a91091fa87febf8853e2ac16db4a8d674cec7877cc3b651b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-04-05T19:04:29Z",
    "title_canon_sha256": "6277d5e6dcd67fd8c01fbaf9b2f5768325b971a13aa3dd79fb5d12c204c97885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0915",
    "kind": "arxiv",
    "version": 1
  }
}