Pith Number

pith:YKAF3LSR

pith:2006:YKAF3LSRHBRVYS3TEH6GPOHZYU

not attested not anchored not stored refs pending

Lifshitz tails for a class of Schr\"odinger operators with random breather-type potential

Ivan Veselic', Werner Kirsch

arxiv:math-ph/0609014 v2 · 2006-09-06 · math-ph · math.MP · 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{YKAF3LSRHBRVYS3TEH6GPOHZYU}

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	2026-05-18T00:04:37.853993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2805dae5138635c4b7321fc67b8f9c51dca7f21e6adff4972ee2ba316657ff1

Aliases

arxiv: math-ph/0609014 · arxiv_version: math-ph/0609014v2 · doi: 10.48550/arxiv.math-ph/0609014 · pith_short_12: YKAF3LSRHBRV · pith_short_16: YKAF3LSRHBRVYS3T · pith_short_8: YKAF3LSR

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/YKAF3LSRHBRVYS3TEH6GPOHZYU \
  | 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: c2805dae5138635c4b7321fc67b8f9c51dca7f21e6adff4972ee2ba316657ff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b81ceb0bc2b64bd1e9faf77156a836114f9f07e40e473bb9709ce9c89911014",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2006-09-06T19:05:23Z",
    "title_canon_sha256": "43422a8e9f1e258101cdf2c5bc65155451639c359dbc2285a8a0ca83e1f89e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0609014",
    "kind": "arxiv",
    "version": 2
  }
}