Pith Number

pith:IL2NLZFV

pith:2013:IL2NLZFVBDXD2EPNTDGP5FK5H4

not attested not anchored not stored refs pending

Limit theorems for excursion sets of stationary random fields

Evgeny Spodarev

arxiv:1307.6050 v1 · 2013-07-23 · 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{IL2NLZFVBDXD2EPNTDGP5FK5H4}

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	2026-05-18T03:17:45.463983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42f4d5e4b508ee3d11ed98ccfe955d3f0d61c47a923545b697c149582c4357f9

Aliases

arxiv: 1307.6050 · arxiv_version: 1307.6050v1 · doi: 10.48550/arxiv.1307.6050 · pith_short_12: IL2NLZFVBDXD · pith_short_16: IL2NLZFVBDXD2EPN · pith_short_8: IL2NLZFV

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/IL2NLZFVBDXD2EPNTDGP5FK5H4 \
  | 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: 42f4d5e4b508ee3d11ed98ccfe955d3f0d61c47a923545b697c149582c4357f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ac97cb4e0f3df9c2fdf39b09b7fa412385f7e1bd56944bb52fd170a21747763",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-23T12:57:52Z",
    "title_canon_sha256": "967097d8970cae19ef4b0be266288c4aff3f85915cd28936016518e1447f0c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6050",
    "kind": "arxiv",
    "version": 1
  }
}