Pith Number

pith:LW5RO2HQ

pith:2015:LW5RO2HQI5HE5IZ2GYN3VKNTTU

not attested not anchored not stored refs pending

Polarity of points for Gaussian random fields

Carl Mueller, Robert C. Dalang, Yimin Xiao

arxiv:1505.05417 v1 · 2015-05-20 · 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{LW5RO2HQI5HE5IZ2GYN3VKNTTU}

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	2026-05-18T02:03:56.418737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dbb1768f0474e4ea33a361bbaa9b39d1e8a0ab9dad233b09a0f41b487bdd333

Aliases

arxiv: 1505.05417 · arxiv_version: 1505.05417v1 · doi: 10.48550/arxiv.1505.05417 · pith_short_12: LW5RO2HQI5HE · pith_short_16: LW5RO2HQI5HE5IZ2 · pith_short_8: LW5RO2HQ

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/LW5RO2HQI5HE5IZ2GYN3VKNTTU \
  | 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: 5dbb1768f0474e4ea33a361bbaa9b39d1e8a0ab9dad233b09a0f41b487bdd333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "098f069b05af2d124da58fded3f0f572d401861d6945ba15819a20152592b6d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-20T15:21:43Z",
    "title_canon_sha256": "e6bc1309b1c0ac785e05167e41f8018ec792fb09f4e9382d107d80dfc4d16d91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05417",
    "kind": "arxiv",
    "version": 1
  }
}