Pith Number

pith:TYT7ESHZ

pith:2019:TYT7ESHZJPD5DKZ7Z6SEOOYOZY

not attested not anchored not stored refs pending

Large Deviation theorems for Dirichlet determinants of analytic quasi-periodic Jacobi operators with Brjuno-R\"ussmann frequency

Kai Tao, Wenmeng Geng

arxiv:1906.11136 v1 · 2019-06-26 · math.DS · 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{TYT7ESHZJPD5DKZ7Z6SEOOYOZY}

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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	2026-05-17T23:42:09.732402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e27f248f94bc7d1ab3fcfa4473b0ece1ddaf879473d9bbab7445e8f8fb7ae2d

Aliases

arxiv: 1906.11136 · arxiv_version: 1906.11136v1 · doi: 10.48550/arxiv.1906.11136 · pith_short_12: TYT7ESHZJPD5 · pith_short_16: TYT7ESHZJPD5DKZ7 · pith_short_8: TYT7ESHZ

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/TYT7ESHZJPD5DKZ7Z6SEOOYOZY \
  | 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: 9e27f248f94bc7d1ab3fcfa4473b0ece1ddaf879473d9bbab7445e8f8fb7ae2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14264a677a47cdebc25fb01afd2908a8d79feb1eeecb0fb9cbcffde4045517b8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-26T14:47:09Z",
    "title_canon_sha256": "64e12800adf346075ea9f74c6382d6fc620bc9570cf975d237c1585caf6c7539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11136",
    "kind": "arxiv",
    "version": 1
  }
}