Pith Number

pith:GJPUPPZS

pith:2010:GJPUPPZSRBIMX7ZQNDOUJ5666E

not attested not anchored not stored refs pending

Some remarks on SLE bubbles and Schramm's two-point observable

Dmitry Beliaev, Fredrik Johansson Viklund

arxiv:1012.5206 v2 · 2010-12-23 · 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{GJPUPPZSRBIMX7ZQNDOUJ5666E}

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	2026-05-18T04:12:54.817889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

325f47bf328850cbff3068dd44f7def10610f627d39027cdd59f4f9da421d117

Aliases

arxiv: 1012.5206 · arxiv_version: 1012.5206v2 · doi: 10.48550/arxiv.1012.5206 · pith_short_12: GJPUPPZSRBIM · pith_short_16: GJPUPPZSRBIMX7ZQ · pith_short_8: GJPUPPZS

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/GJPUPPZSRBIMX7ZQNDOUJ5666E \
  | 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: 325f47bf328850cbff3068dd44f7def10610f627d39027cdd59f4f9da421d117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9826f0f6a602891b8f501bd9f32d4c69618f185a96ede833a618d10e637eae5",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-23T14:04:42Z",
    "title_canon_sha256": "b6d3e0d5b26ecdc1ab12b6f5323212cf53d52f787748d003d412ed198d7fe708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5206",
    "kind": "arxiv",
    "version": 2
  }
}