Pith Number

pith:LQFGXPH4

pith:2016:LQFGXPH4SM4BNL4FDLLNFP7JP2

not attested not anchored not stored refs pending

Fast decay of covariances under $\delta-$pinning in the critical and supercritical membrane model

Alessandra Cipriani, Erwin Bolthausen, Noemi Kurt

arxiv:1601.01513 v1 · 2016-01-07 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQFGXPH4SM4BNL4FDLLNFP7JP2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:23:13.421811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c0a6bbcfc933816af851ad6d2bfe97e8ee1ff662cc85f6cbba6af4bc4ebeeea

Aliases

arxiv: 1601.01513 · arxiv_version: 1601.01513v1 · doi: 10.48550/arxiv.1601.01513 · pith_short_12: LQFGXPH4SM4B · pith_short_16: LQFGXPH4SM4BNL4F · pith_short_8: LQFGXPH4

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/LQFGXPH4SM4BNL4FDLLNFP7JP2 \
  | 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: 5c0a6bbcfc933816af851ad6d2bfe97e8ee1ff662cc85f6cbba6af4bc4ebeeea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa9648c41b7086f4b023617bff0059cb553d55966ac9c5fda109c172af811f51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-07T12:32:21Z",
    "title_canon_sha256": "b8d05f68e0bc8ccfdd399c35c6fc4090c3df7de58b4eceb9fb2c66b3ba6d5387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01513",
    "kind": "arxiv",
    "version": 1
  }
}