Pith Number

pith:G2KT2NVY

pith:2012:G2KT2NVYWNTJISW7J7C3JAUTHQ

not attested not anchored not stored refs pending

Boundary Harnack principle and Martin boundary at infinity for subordinate Brownian motions

Panki Kim, Renming Song, Zoran Vondra\v{c}ek

arxiv:1212.3094 v1 · 2012-12-13 · 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{G2KT2NVYWNTJISW7J7C3JAUTHQ}

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	2026-05-18T03:38:33.776872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36953d36b8b366944adf4fc5b482933c053b14c9aef1878f6fbaa5cfc43963a2

Aliases

arxiv: 1212.3094 · arxiv_version: 1212.3094v1 · doi: 10.48550/arxiv.1212.3094 · pith_short_12: G2KT2NVYWNTJ · pith_short_16: G2KT2NVYWNTJISW7 · pith_short_8: G2KT2NVY

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/G2KT2NVYWNTJISW7J7C3JAUTHQ \
  | 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: 36953d36b8b366944adf4fc5b482933c053b14c9aef1878f6fbaa5cfc43963a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac7b1ac2035eacb8a363cc0af6ac320136001a35b3aa4feb6a5768c5a32d3182",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-13T09:12:47Z",
    "title_canon_sha256": "9fdf206bf8aa5717f53d288fa67f4c346d77fe88d41b996cc2001d3747ab08a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3094",
    "kind": "arxiv",
    "version": 1
  }
}