Pith Number

pith:ANJSPL6L

pith:2024:ANJSPL6LPUUG6SMPVMK3BDSDOW

not attested not anchored not stored refs pending

A boundary Harnack principle and its application to analyticity of 3D Brownian intersection exponents

Runsheng Liu, Xiangyi Liu, Xinyi Li, Yifan Gao, Yifan Li

arxiv:2411.14921 v1 · 2024-11-22 · math.PR

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\usepackage{pith}
\pithnumber{ANJSPL6LPUUG6SMPVMK3BDSDOW}

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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.

Cited by

1 paper in Pith

Generalized intersection exponents and local cut points for three-dimensional Brownian loop soup

Receipt and verification

First computed	2026-07-05T09:39:13.682963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

035327afcb7d286f498fab15b08e4375abcd180193c29916d282383184e1792a

Aliases

arxiv: 2411.14921 · arxiv_version: 2411.14921v1 · doi: 10.48550/arxiv.2411.14921 · pith_short_12: ANJSPL6LPUUG · pith_short_16: ANJSPL6LPUUG6SMP · pith_short_8: ANJSPL6L

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/ANJSPL6LPUUG6SMPVMK3BDSDOW \
  | 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: 035327afcb7d286f498fab15b08e4375abcd180193c29916d282383184e1792a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac79ffc4a8c6a044ebd8a8917063ba5b28b776b77d4943a04f96c5ee309bb120",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-22T13:22:30Z",
    "title_canon_sha256": "2c9045e94bb02960b073332a0052e9da02f6e9f267cc43a9c38ccc0109925097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14921",
    "kind": "arxiv",
    "version": 1
  }
}