Pith Number

pith:Y2HXMKWQ

pith:2026:Y2HXMKWQOSSNYFKSWQRMLPZLU6

not attested not anchored not stored refs pending

Quasisymmetric rigidity of the Brownian sphere

Jason Miller, Yi Tian

arxiv:2606.10973 v1 · 2026-06-09 · math.PR · math-ph · math.CV · math.MG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2HXMKWQOSSNYFKSWQRMLPZLU6}

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	2026-06-10T01:10:50.764285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c68f762ad074a4dc1552b422c5bf2ba7a3ddb98a1d9c396ccc0f5bccacf4a664

Aliases

arxiv: 2606.10973 · arxiv_version: 2606.10973v1 · doi: 10.48550/arxiv.2606.10973 · pith_short_12: Y2HXMKWQOSSN · pith_short_16: Y2HXMKWQOSSNYFKS · pith_short_8: Y2HXMKWQ

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/Y2HXMKWQOSSNYFKSWQRMLPZLU6 \
  | 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: c68f762ad074a4dc1552b422c5bf2ba7a3ddb98a1d9c396ccc0f5bccacf4a664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d06960426ea92da8a88a43f45a8437dba6c7b48df3eae98fd49d4caa6ca1db9",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-09T15:13:28Z",
    "title_canon_sha256": "4479114cbab2d46266f2bad8bb2ce3e71c2238bdb4e4e9fb1cdd43d3619e9821"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10973",
    "kind": "arxiv",
    "version": 1
  }
}