Pith Number

pith:W6ACNFBA

pith:2018:W6ACNFBAAP6QHMEXMB2QBKI6ZG

not attested not anchored not stored refs pending

Dependence of the density of states on the probability distribution for discrete random Schr\"odinger operators

Christoph A. Marx, Peter D. Hislop

arxiv:1804.02444 v2 · 2018-04-06 · 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{W6ACNFBAAP6QHMEXMB2QBKI6ZG}

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	2026-05-18T00:13:37.019202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b78026942003fd03b097607500a91ec9830e916292ef58ff207f4b3d2f3963f1

Aliases

arxiv: 1804.02444 · arxiv_version: 1804.02444v2 · doi: 10.48550/arxiv.1804.02444 · pith_short_12: W6ACNFBAAP6Q · pith_short_16: W6ACNFBAAP6QHMEX · pith_short_8: W6ACNFBA

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/W6ACNFBAAP6QHMEXMB2QBKI6ZG \
  | 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: b78026942003fd03b097607500a91ec9830e916292ef58ff207f4b3d2f3963f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "545a2c1a035768c12c5158c7dda7f9efc6f6b969a30769717196a72313fbd3f8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-04-06T20:05:04Z",
    "title_canon_sha256": "a81faadfd61aa34abc3f388f7f21f62768bedfdd144526443690e0b505fe3d47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02444",
    "kind": "arxiv",
    "version": 2
  }
}