Pith Number

pith:SVYMAFPO

pith:2016:SVYMAFPOTELLQPLWM32J45SA6S

not attested not anchored not stored refs pending

A lower bound on the Lyapunov exponent for the generalized Harper's model

Svetlana Jitomirskaya, Wencai Liu

arxiv:1611.10028 v1 · 2016-11-30 · 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{SVYMAFPOTELLQPLWM32J45SA6S}

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	2026-05-18T00:17:55.082282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9570c015ee9916b83d7666f49e7640f4853b2d15713f318eb64f0796d56badff

Aliases

arxiv: 1611.10028 · arxiv_version: 1611.10028v1 · doi: 10.48550/arxiv.1611.10028 · pith_short_12: SVYMAFPOTELL · pith_short_16: SVYMAFPOTELLQPLW · pith_short_8: SVYMAFPO

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/SVYMAFPOTELLQPLWM32J45SA6S \
  | 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: 9570c015ee9916b83d7666f49e7640f4853b2d15713f318eb64f0796d56badff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c93b39797097822990e4ef9d20debab122e5a4ffc7a500bd5715f54fc797387",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-30T07:15:29Z",
    "title_canon_sha256": "695b4fcc7026f09aacb1bf3c0f06e8c1789d5ce9a20ca3dc20a75350048d07d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10028",
    "kind": "arxiv",
    "version": 1
  }
}