Pith Number

pith:FJL3OZJR

pith:2009:FJL3OZJR4DO2BGXXSTXMYM5K2W

not attested not anchored not stored refs pending

On the reversal of radial SLE, I: Commutation Relations in Annuli

Dapeng Zhan

arxiv:0904.0808 v2 · 2009-04-05 · 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{FJL3OZJR4DO2BGXXSTXMYM5K2W}

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	2026-05-18T00:39:53.330350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a57b76531e0dda09af794eecc33aad5a5871100a73d55f3144887416bb3292a

Aliases

arxiv: 0904.0808 · arxiv_version: 0904.0808v2 · doi: 10.48550/arxiv.0904.0808 · pith_short_12: FJL3OZJR4DO2 · pith_short_16: FJL3OZJR4DO2BGXX · pith_short_8: FJL3OZJR

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/FJL3OZJR4DO2BGXXSTXMYM5K2W \
  | 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: 2a57b76531e0dda09af794eecc33aad5a5871100a73d55f3144887416bb3292a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6cbc7c1f3eadf13eafdc2ff16cce577514a6809f11c42d5899f991b75ebbab1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-04-05T19:47:34Z",
    "title_canon_sha256": "a4b9e146b438a912cc9214506e54415387676f88316f859a7128c7df068a582f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0808",
    "kind": "arxiv",
    "version": 2
  }
}