Pith Number

pith:YIHBBLU7

pith:2009:YIHBBLU7YSPSL73T63RFGQZRCH

not attested not anchored not stored refs pending

Lower bound on the density of states for periodic Schr\"odinger operators

Irina Pchelintseva, Leonid Parnovski, Sergey Morozov

arxiv:0907.4465 v1 · 2009-07-26 · 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{YIHBBLU7YSPSL73T63RFGQZRCH}

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	2026-05-18T03:58:37.077655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c20e10ae9fc49f25ff73f6e253433111f9c527e60c1a3589a390d53b9f67e746

Aliases

arxiv: 0907.4465 · arxiv_version: 0907.4465v1 · doi: 10.48550/arxiv.0907.4465 · pith_short_12: YIHBBLU7YSPS · pith_short_16: YIHBBLU7YSPSL73T · pith_short_8: YIHBBLU7

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/YIHBBLU7YSPSL73T63RFGQZRCH \
  | 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: c20e10ae9fc49f25ff73f6e253433111f9c527e60c1a3589a390d53b9f67e746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b57340dcf7aa70a7255e4a2ddc9945a4d2c8df183e5ef82d4eb6359a350cb551",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-07-26T09:00:23Z",
    "title_canon_sha256": "86c90fffe0f4dc750918dca021d96ae36ac1c23427aca95f9d1e084a63258909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4465",
    "kind": "arxiv",
    "version": 1
  }
}