Pith Number

pith:F3JOCCJT

pith:2009:F3JOCCJTNTKVD6A56XEVTVSMNG

not attested not anchored not stored refs pending

Brownian motion and the Dirichlet problem at infinity on two-dimensional Cartan-Hadamard manifolds

Robert W. Neel

arxiv:0912.0330 v1 · 2009-12-02 · math.DG · 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{F3JOCCJTNTKVD6A56XEVTVSMNG}

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	2026-05-18T01:58:38.619096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ed2e109336cd551f81df5c959d64c69ac1532e93c843d55ce87bce02820c4be

Aliases

arxiv: 0912.0330 · arxiv_version: 0912.0330v1 · doi: 10.48550/arxiv.0912.0330 · pith_short_12: F3JOCCJTNTKV · pith_short_16: F3JOCCJTNTKVD6A5 · pith_short_8: F3JOCCJT

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/F3JOCCJTNTKVD6A56XEVTVSMNG \
  | 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: 2ed2e109336cd551f81df5c959d64c69ac1532e93c843d55ce87bce02820c4be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a46ae2d5f35e2e11b900f7a0adbb764f56222341274d8a2df95630b8604acb95",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-02T03:54:18Z",
    "title_canon_sha256": "a65dc6c63e63d3a98dd432247a2929efe06787cb858d5cfb63d86faad6e0414d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0330",
    "kind": "arxiv",
    "version": 1
  }
}