Pith Number

pith:2BYSM4SW

pith:2001:2BYSM4SWFG2MIMG2ZGPTQZ7ZJS

not attested not anchored not stored refs pending

Stability of Singular Spectral Types under Decaying Perturbations

A. Kiselev, B. Simon, Y. Last

arxiv:math/0110139 v1 · 2001-10-13 · 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{2BYSM4SWFG2MIMG2ZGPTQZ7ZJS}

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	2026-07-04T14:35:33.900365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d07126725629b4c430dac99f3867f94ca842e9f65b5a683c0a678fd76256c7dc

Aliases

arxiv: math/0110139 · arxiv_version: math/0110139v1 · doi: 10.48550/arxiv.math/0110139 · pith_short_12: 2BYSM4SWFG2M · pith_short_16: 2BYSM4SWFG2MIMG2 · pith_short_8: 2BYSM4SW

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/2BYSM4SWFG2MIMG2ZGPTQZ7ZJS \
  | 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: d07126725629b4c430dac99f3867f94ca842e9f65b5a683c0a678fd76256c7dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7349097574db00d21f051c1576a40f2d5bce9faca2db5ce81254e175d88e74a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2001-10-13T21:33:08Z",
    "title_canon_sha256": "cdd42c5f0e0aab9aacec4439475fbd637ae10f2dd472cf6864240cc2b75efd73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110139",
    "kind": "arxiv",
    "version": 1
  }
}