Pith Number

pith:MGVECSGG

pith:2011:MGVECSGGVYX2L2YNPAW5BI7KCD

not attested not anchored not stored refs pending

Derivative Formula and Applications for Degenerate Diffusion Semigroups

Feng-Yu Wang, Xi-Cheng Zhang

arxiv:1107.0096 v3 · 2011-07-01 · 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{MGVECSGGVYX2L2YNPAW5BI7KCD}

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	2026-05-18T04:00:26.698195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61aa4148c6ae2fa5eb0d782dd0a3ea10f61a87dc64c729b9c34b2292a5868234

Aliases

arxiv: 1107.0096 · arxiv_version: 1107.0096v3 · doi: 10.48550/arxiv.1107.0096 · pith_short_12: MGVECSGGVYX2 · pith_short_16: MGVECSGGVYX2L2YN · pith_short_8: MGVECSGG

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/MGVECSGGVYX2L2YNPAW5BI7KCD \
  | 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: 61aa4148c6ae2fa5eb0d782dd0a3ea10f61a87dc64c729b9c34b2292a5868234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9776d4da0f70293ad0369ccbb2ebfbf0e2b7f8ae774edbcaf8c44283cbeb197",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-01T02:56:21Z",
    "title_canon_sha256": "5d0ea9b4d4cc102ac5755e2ce6f519194901f3b962a254d92c1fd493965eadaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0096",
    "kind": "arxiv",
    "version": 3
  }
}