Pith Number

pith:522OSNRS

pith:2023:522OSNRS3VJEBB4QRJOHQ2DXVP

not attested not anchored not stored refs pending

Exponential Mixing Via Additive Combinatorics

Osama Khalil

arxiv:2305.00527 v3 · 2023-04-30 · math.DS · math.CA · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{522OSNRS3VJEBB4QRJOHQ2DXVP}

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.

Cited by

1 paper in Pith

Fourier decay of equilibrium states and the Fibonacci Hamiltonian

Receipt and verification

First computed	2026-07-05T09:54:42.621337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeb4e93632dd524087908a5c786877abf50fc4c8b7fef136d5e33f727e0846dc

Aliases

arxiv: 2305.00527 · arxiv_version: 2305.00527v3 · doi: 10.48550/arxiv.2305.00527 · pith_short_12: 522OSNRS3VJE · pith_short_16: 522OSNRS3VJEBB4Q · pith_short_8: 522OSNRS

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/522OSNRS3VJEBB4QRJOHQ2DXVP \
  | 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: eeb4e93632dd524087908a5c786877abf50fc4c8b7fef136d5e33f727e0846dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a847e6cac185f23a091a79e9143cf5229f5c9f4f27213feeec4593ad8167597",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-04-30T16:53:08Z",
    "title_canon_sha256": "e6cd676bab8ea5ad98e3a5618bd1ccc0ff7b599bfc949de972a75bbd312e5b55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.00527",
    "kind": "arxiv",
    "version": 3
  }
}