Pith Number

pith:ROEX3CTJ

pith:2016:ROEX3CTJPT6PB2GLLDHV7GEE5K

not attested not anchored not stored refs pending

Strong law of large numbers for the capacity of the Wiener sausage in dimension four

Amine Asselah, Bruno Schapira, Perla Sousi

arxiv:1611.04576 v3 · 2016-11-14 · 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{ROEX3CTJPT6PB2GLLDHV7GEE5K}

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	2026-05-18T00:43:59.212428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b897d8a697cfcf0e8cb58cf5f9884ea824f9f1f95a98e6a75b4a1076d254cc2

Aliases

arxiv: 1611.04576 · arxiv_version: 1611.04576v3 · doi: 10.48550/arxiv.1611.04576 · pith_short_12: ROEX3CTJPT6P · pith_short_16: ROEX3CTJPT6PB2GL · pith_short_8: ROEX3CTJ

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/ROEX3CTJPT6PB2GLLDHV7GEE5K \
  | 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: 8b897d8a697cfcf0e8cb58cf5f9884ea824f9f1f95a98e6a75b4a1076d254cc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "950bdf72e262754a3dc4be16921c1f47255dd9322b70eefa4182c0891ff9d1cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-14T20:54:50Z",
    "title_canon_sha256": "91f0c4e8e9efb7821d1c80d61963ea71c481798e2e8993540ed40f6811ee127e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04576",
    "kind": "arxiv",
    "version": 3
  }
}