Pith Number

pith:O3JF4D4C

pith:2015:O3JF4D4CVS5XB3XBTFUGNSVVI5

not attested not anchored not stored refs pending

Perron's method for viscosity solutions of semilinear path dependent PDEs

Zhenjie Ren

arxiv:1503.02169 v1 · 2015-03-07 · math.PR · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3JF4D4CVS5XB3XBTFUGNSVVI5}

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	2026-05-18T02:25:25.696513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76d25e0f82acbb70eee1996866cab547572913a7b2181f90f44c3536b3413916

Aliases

arxiv: 1503.02169 · arxiv_version: 1503.02169v1 · doi: 10.48550/arxiv.1503.02169 · pith_short_12: O3JF4D4CVS5X · pith_short_16: O3JF4D4CVS5XB3XB · pith_short_8: O3JF4D4C

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/O3JF4D4CVS5XB3XBTFUGNSVVI5 \
  | 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: 76d25e0f82acbb70eee1996866cab547572913a7b2181f90f44c3536b3413916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c192c2fe462e18ee356a2538a002b388af906c87f9e209daccd5d92d075f61d8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-07T12:56:21Z",
    "title_canon_sha256": "8338b1642ce5e00123a35bddd283d336d14405d5f333202c21a9dec12a3fea86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02169",
    "kind": "arxiv",
    "version": 1
  }
}