Pith Number

pith:ZPGDQ5LX

pith:2014:ZPGDQ5LXUGBGPFJOH6TTOZBQ4B

not attested not anchored not stored refs pending

Large deviations for quasi-periodic cocycles with singularities

Pedro Duarte, Silvius Klein

arxiv:1410.0909 v2 · 2014-10-03 · math.DS · math-ph · math.CA · 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{ZPGDQ5LXUGBGPFJOH6TTOZBQ4B}

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	2026-05-18T01:37:05.664248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbcc387577a18267952e3fa7376430e07478e4c07484c6c9baf2bd3695ae827b

Aliases

arxiv: 1410.0909 · arxiv_version: 1410.0909v2 · doi: 10.48550/arxiv.1410.0909 · pith_short_12: ZPGDQ5LXUGBG · pith_short_16: ZPGDQ5LXUGBGPFJO · pith_short_8: ZPGDQ5LX

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/ZPGDQ5LXUGBGPFJOH6TTOZBQ4B \
  | 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: cbcc387577a18267952e3fa7376430e07478e4c07484c6c9baf2bd3695ae827b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f892cf1c5b88718c6077e6d00d5d684c29b6630c5d1842b60fea3db93c0a3d",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-10-03T16:43:15Z",
    "title_canon_sha256": "61df79674020cf0da0915d311d842a4cc75690e6f89e5fb036be3d7af5e1f547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0909",
    "kind": "arxiv",
    "version": 2
  }
}