Pith Number

pith:2Y2KLWKJ

pith:2013:2Y2KLWKJMBCMFM6KM5OU6Y5RMF

not attested not anchored not stored refs pending

The exit time of planar Brownian motion and the Phragmen-Lindelof principle

Greg Markowsky

arxiv:1306.3274 v2 · 2013-06-14 · math.PR · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2Y2KLWKJMBCMFM6KM5OU6Y5RMF}

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	2026-05-18T02:58:23.522885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d634a5d9496044c2b3ca675d4f63b1617a5d8e467b3a74738c6d462fce9bcec0

Aliases

arxiv: 1306.3274 · arxiv_version: 1306.3274v2 · doi: 10.48550/arxiv.1306.3274 · pith_short_12: 2Y2KLWKJMBCM · pith_short_16: 2Y2KLWKJMBCMFM6K · pith_short_8: 2Y2KLWKJ

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/2Y2KLWKJMBCMFM6KM5OU6Y5RMF \
  | 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: d634a5d9496044c2b3ca675d4f63b1617a5d8e467b3a74738c6d462fce9bcec0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d2f0fc179a7183cf81c948537bc50c501148d5d02b57b8070c0197b774c03b",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-14T00:23:58Z",
    "title_canon_sha256": "450206edc032437c751c0ecf3ca450edd767f23863a1e18987c216151b114d82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3274",
    "kind": "arxiv",
    "version": 2
  }
}