Pith Number

pith:U5XTPUEZ

pith:2018:U5XTPUEZKIMNYKUZVGCRA2P33E

not attested not anchored not stored refs pending

Probability to be positive for the membrane model in dimensions 2 and 3

Florian Schweiger, Jean-Dominique Deuschel, Noemi Kurt, Simon Buchholz

arxiv:1810.05062 v1 · 2018-10-11 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5XTPUEZKIMNYKUZVGCRA2P33E}

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	2026-05-18T00:03:35.049839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a76f37d0995218dc2a99a9851069fbd932ab7eb629c36eec43f4644c7e98a97a

Aliases

arxiv: 1810.05062 · arxiv_version: 1810.05062v1 · doi: 10.48550/arxiv.1810.05062 · pith_short_12: U5XTPUEZKIMN · pith_short_16: U5XTPUEZKIMNYKUZ · pith_short_8: U5XTPUEZ

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/U5XTPUEZKIMNYKUZVGCRA2P33E \
  | 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: a76f37d0995218dc2a99a9851069fbd932ab7eb629c36eec43f4644c7e98a97a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "983a4b86f443483d8a655448695c852d6e9d22414a833d1b226700f838f34790",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-11T14:52:56Z",
    "title_canon_sha256": "b1466f048fe552ac70358ece082d50f03c4f486b0ccd3f28335364d4e4ac9acf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05062",
    "kind": "arxiv",
    "version": 1
  }
}