Pith Number

pith:IZRYFUI2

pith:2012:IZRYFUI2Q3ZPYMUQD4OL6TUUTK

not attested not anchored not stored refs pending

On the limit behaviour of second order relative spectra of self-adjoint operators

Eugene Shargorodsky

arxiv:1203.4831 v1 · 2012-03-21 · 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{IZRYFUI2Q3ZPYMUQD4OL6TUUTK}

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	2026-05-18T03:59:28.689182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

466382d11a86f2fc32901f1cbf4e949a9d440a4985ef7f725252c4d75506aac9

Aliases

arxiv: 1203.4831 · arxiv_version: 1203.4831v1 · doi: 10.48550/arxiv.1203.4831 · pith_short_12: IZRYFUI2Q3ZP · pith_short_16: IZRYFUI2Q3ZPYMUQ · pith_short_8: IZRYFUI2

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/IZRYFUI2Q3ZPYMUQD4OL6TUUTK \
  | 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: 466382d11a86f2fc32901f1cbf4e949a9d440a4985ef7f725252c4d75506aac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecd5626a98c59edeb946b89ade27f52157777624ed4c2a6f7402aecf18c2cf5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-03-21T20:32:14Z",
    "title_canon_sha256": "a222f705f6f7354d4d7d4039bd04a6fe62ced9cd57dad50fd982a75308f93b8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4831",
    "kind": "arxiv",
    "version": 1
  }
}