Pith Number

pith:QWTQ3I5K

pith:2017:QWTQ3I5K46HSWH2U5VFNV2HPET

not attested not anchored not stored refs pending

Harnack inequality for subordinate random walks

Ante Mimica, Stjepan \v{S}ebek

arxiv:1701.07690 v1 · 2017-01-26 · 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{QWTQ3I5K46HSWH2U5VFNV2HPET}

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	2026-05-18T00:52:02.848661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a70da3aae78f2b1f54ed4adae8ef24d3a290c4a387f80d0ac1b1061adf3ae4

Aliases

arxiv: 1701.07690 · arxiv_version: 1701.07690v1 · doi: 10.48550/arxiv.1701.07690 · pith_short_12: QWTQ3I5K46HS · pith_short_16: QWTQ3I5K46HSWH2U · pith_short_8: QWTQ3I5K

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/QWTQ3I5K46HSWH2U5VFNV2HPET \
  | 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: 85a70da3aae78f2b1f54ed4adae8ef24d3a290c4a387f80d0ac1b1061adf3ae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d4279258cc89064ee5dbf4c59776c2f86f358c639e4872fea47ab1490d1b4fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-26T13:29:55Z",
    "title_canon_sha256": "edafe58a082cb6601a643849625f688811f0cc51545e8cd72932fae02fbf6555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07690",
    "kind": "arxiv",
    "version": 1
  }
}