Pith Number

pith:OX73ALLJ

pith:2013:OX73ALLJOVDI3OHR637D4GITXR

not attested not anchored not stored refs pending

Spectra of Random Operators with absolutely continuous Integrated Density of States

Rafael del Rio

arxiv:1302.3296 v1 · 2013-02-14 · 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{OX73ALLJOVDI3OHR637D4GITXR}

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	2026-05-18T01:51:41.500065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75ffb02d6975468db8f1f6fe3e1913bc56aa3368eaf525ac3eb529ca4cca3559

Aliases

arxiv: 1302.3296 · arxiv_version: 1302.3296v1 · doi: 10.48550/arxiv.1302.3296 · pith_short_12: OX73ALLJOVDI · pith_short_16: OX73ALLJOVDI3OHR · pith_short_8: OX73ALLJ

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/OX73ALLJOVDI3OHR637D4GITXR \
  | 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: 75ffb02d6975468db8f1f6fe3e1913bc56aa3368eaf525ac3eb529ca4cca3559

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f2a10e068cecc8f11ff4723a520600c8e1fb3bdc645401b80a0aa1218bf0e7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-02-14T03:01:03Z",
    "title_canon_sha256": "2b8aaad02ae5e87c2ecae3eba25929440e2acd3b7c083b15e8f9d7ee12f5abea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3296",
    "kind": "arxiv",
    "version": 1
  }
}