Pith Number

pith:R5VXT55N

pith:2016:R5VXT55NUZOMHP4F64VVUARTCJ

not attested not anchored not stored refs pending

Fluctuation of density of states for 1d Schr\"odinger operators

Fumihiko Nakano

arxiv:1605.06030 v2 · 2016-05-19 · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5VXT55NUZOMHP4F64VVUARTCJ}

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	2026-05-18T00:48:54.533437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f6b79f7ada65cc3bf85f72b5a0233124947795f3817d900de288307546b0a9c

Aliases

arxiv: 1605.06030 · arxiv_version: 1605.06030v2 · doi: 10.48550/arxiv.1605.06030 · pith_short_12: R5VXT55NUZOM · pith_short_16: R5VXT55NUZOMHP4F · pith_short_8: R5VXT55N

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/R5VXT55NUZOMHP4F64VVUARTCJ \
  | 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: 8f6b79f7ada65cc3bf85f72b5a0233124947795f3817d900de288307546b0a9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "703217800f2636022bf80c028824eb7bff1020e6fbf259123cbe800c71d28f8b",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-05-19T16:15:59Z",
    "title_canon_sha256": "8f56f49a0edd1387f434cdbe49206425476d92d0c3f7966891607b28b81896ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06030",
    "kind": "arxiv",
    "version": 2
  }
}