Pith Number

pith:7KMEDVWN

pith:2015:7KMEDVWN24LNUKIXPC4VCNBY2U

not attested not anchored not stored refs pending

Minimal thinness with respect to subordinate killed Brownian motions

Panki Kim, Renming Song, Zoran Vondracek

arxiv:1503.03153 v2 · 2015-03-11 · 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{7KMEDVWN24LNUKIXPC4VCNBY2U}

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	2026-05-18T01:26:25.421884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa9841d6cdd716da291778b9513438d51d12f767785dc05a704d6be3e6c71c03

Aliases

arxiv: 1503.03153 · arxiv_version: 1503.03153v2 · doi: 10.48550/arxiv.1503.03153 · pith_short_12: 7KMEDVWN24LN · pith_short_16: 7KMEDVWN24LNUKIX · pith_short_8: 7KMEDVWN

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/7KMEDVWN24LNUKIXPC4VCNBY2U \
  | 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: fa9841d6cdd716da291778b9513438d51d12f767785dc05a704d6be3e6c71c03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ce940c387ec608b32fb3c63ef85ba7462b2f037f19b5e27b56e0ca432a7df84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-11T02:41:18Z",
    "title_canon_sha256": "72916f71a06f08df6bfd32438f1cea32afbac47e0d11bbe960d3c33c427a6b36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03153",
    "kind": "arxiv",
    "version": 2
  }
}