Pith Number

pith:YX7QSB3Z

pith:2017:YX7QSB3ZD3UH4FBQV2FFTMM6BK

not attested not anchored not stored refs pending

Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent

David Damanik, Fengpeng Wang, Jake Fillman, Tom VandenBoom, Valmir Bucaj, Vitaly Gerbuz, Zhenghe Zhang

arxiv:1706.06135 v2 · 2017-06-19 · math-ph · math.DS · 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{YX7QSB3ZD3UH4FBQV2FFTMM6BK}

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	2026-05-18T00:38:41.500654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5ff0907791ee87e1430ae8a59b19e0aba2f507c6e4da2ae9a408d478d98d34d

Aliases

arxiv: 1706.06135 · arxiv_version: 1706.06135v2 · doi: 10.48550/arxiv.1706.06135 · pith_short_12: YX7QSB3ZD3UH · pith_short_16: YX7QSB3ZD3UH4FBQ · pith_short_8: YX7QSB3Z

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/YX7QSB3ZD3UH4FBQV2FFTMM6BK \
  | 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: c5ff0907791ee87e1430ae8a59b19e0aba2f507c6e4da2ae9a408d478d98d34d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53363cfc6cfa549a4d2aae38061d57b10eabd37af6a60e08489c5beb3be66f88",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-06-19T18:50:04Z",
    "title_canon_sha256": "3a95799465fedaac8ded5e484e3f7f54b35986f0b2cd232e1e3d72a06fbd57d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06135",
    "kind": "arxiv",
    "version": 2
  }
}