Pith Number

pith:XVQXXKMN

pith:2010:XVQXXKMNTLVFQHX25MCYALQFBP

not attested not anchored not stored refs pending

Chernoff's theorem for backward propagators and applications to diffusions on manifolds

Evelina Shamarova

arxiv:1001.3373 v2 · 2010-01-19 · math.FA · 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{XVQXXKMNTLVFQHX25MCYALQFBP}

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	2026-05-18T04:31:29.941551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd617ba98d9aea581efaeb05802e050bfcdb3e8a49caf35db52f95b3efb87869

Aliases

arxiv: 1001.3373 · arxiv_version: 1001.3373v2 · doi: 10.48550/arxiv.1001.3373 · pith_short_12: XVQXXKMNTLVF · pith_short_16: XVQXXKMNTLVFQHX2 · pith_short_8: XVQXXKMN

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/XVQXXKMNTLVFQHX25MCYALQFBP \
  | 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: bd617ba98d9aea581efaeb05802e050bfcdb3e8a49caf35db52f95b3efb87869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87dc6186f67321dea74a223f6718a1202330e72c22f150f4c808c469f316cb31",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-01-19T17:49:30Z",
    "title_canon_sha256": "95f7f18799aa8d57b485eb6f400716db1513950d23acee493592af7e9cdc641a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3373",
    "kind": "arxiv",
    "version": 2
  }
}