Pith Number

pith:AUAK2H7W

pith:2017:AUAK2H7WGSPIIMZFL63I3UM2MI

not attested not anchored not stored refs pending

Visibility in the vacant set of the Brownian interlacements and the Brownian excursion process

Johan Tykesson, Olof Elias

arxiv:1709.09052 v1 · 2017-09-26 · 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{AUAK2H7WGSPIIMZFL63I3UM2MI}

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	2026-05-18T00:34:21.287028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0500ad1ff6349e8433255fb68dd19a622c98c3f359cef779a9790db8f32daea2

Aliases

arxiv: 1709.09052 · arxiv_version: 1709.09052v1 · doi: 10.48550/arxiv.1709.09052 · pith_short_12: AUAK2H7WGSPI · pith_short_16: AUAK2H7WGSPIIMZF · pith_short_8: AUAK2H7W

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/AUAK2H7WGSPIIMZFL63I3UM2MI \
  | 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: 0500ad1ff6349e8433255fb68dd19a622c98c3f359cef779a9790db8f32daea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ef184129c507a90132edfb6c1f1d5643352c4eefe89a554bc9b26e14346f009",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-09-26T14:34:49Z",
    "title_canon_sha256": "2dd9186f8d279642cfc470fc42f7f70fdf0f1565a4ddf31d262993c5a05eee29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09052",
    "kind": "arxiv",
    "version": 1
  }
}