Pith Number

pith:LTREJ552

pith:2012:LTREJ552HNW5HJENWVZJ2Y472E

not attested not anchored not stored refs pending

Harnack Inequalities for Subordinate Brownian Motions

Ante Mimica, Panki Kim

arxiv:1202.0706 v3 · 2012-02-03 · 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{LTREJ552HNW5HJENWVZJ2Y472E}

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	2026-05-18T03:58:36.618016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ce244f7ba3b6dd3a48db5729d639fd13314eb020b7e79d8f9627e9229a432d4

Aliases

arxiv: 1202.0706 · arxiv_version: 1202.0706v3 · doi: 10.48550/arxiv.1202.0706 · pith_short_12: LTREJ552HNW5 · pith_short_16: LTREJ552HNW5HJEN · pith_short_8: LTREJ552

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/LTREJ552HNW5HJENWVZJ2Y472E \
  | 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: 5ce244f7ba3b6dd3a48db5729d639fd13314eb020b7e79d8f9627e9229a432d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d4b03432bf06892bc3beaa2cda38a483c6749938078e58dd25afb34f2fbc1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-03T14:03:25Z",
    "title_canon_sha256": "b20f8df6f6796e9c9ba9536f5e0a4f4079994d44ff63654ee4a268533b9e7f01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0706",
    "kind": "arxiv",
    "version": 3
  }
}