Pith Number

pith:BUPNSTT4

pith:2023:BUPNSTT42FEENT2S7KEJRW4QZC

not attested not anchored not stored refs pending

Invisibility of the integers for the discrete Gaussian chain via a Caffarelli-Silvestre extension of the discrete fractional Laplacian

Christophe Garban

arxiv:2312.04536 v2 · 2023-12-07 · math.PR · 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{BUPNSTT42FEENT2S7KEJRW4QZC}

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

The impact of disorder and non-convex interactions on delocalisation of height functions

Receipt and verification

First computed	2026-07-05T08:20:08.901748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d1ed94e7cd14846cf52fa8898db90c8bc4da92ef23af9db956a69473964f177

Aliases

arxiv: 2312.04536 · arxiv_version: 2312.04536v2 · doi: 10.48550/arxiv.2312.04536 · pith_short_12: BUPNSTT42FEE · pith_short_16: BUPNSTT42FEENT2S · pith_short_8: BUPNSTT4

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/BUPNSTT42FEENT2S7KEJRW4QZC \
  | 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: 0d1ed94e7cd14846cf52fa8898db90c8bc4da92ef23af9db956a69473964f177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3830a59e6373f696460217554de20289784b02f92d7a3aca1d8243adb794989",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-12-07T18:55:12Z",
    "title_canon_sha256": "ee52e2167940cf152d66016475d8148264f397b3ea240bc04ec9ada1d967ab76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.04536",
    "kind": "arxiv",
    "version": 2
  }
}