Pith Number

pith:KOZZPLGE

pith:2014:KOZZPLGEV3K4KERCOH7KXFYWUL

not attested not anchored not stored refs pending

An overview of Viscosity Solutions of Path-Dependent PDEs

Jianfeng Zhang (USC), Nizar Touzi (CMAP), Zhenjie Ren (CMAP)

arxiv:1408.5267 v1 · 2014-08-22 · math.AP · 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{KOZZPLGEV3K4KERCOH7KXFYWUL}

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	2026-05-18T02:25:26.367246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53b397acc4aed5c5122271feab9716a2eb95c0ea0e768a3549537e97d61bb9e1

Aliases

arxiv: 1408.5267 · arxiv_version: 1408.5267v1 · doi: 10.48550/arxiv.1408.5267 · pith_short_12: KOZZPLGEV3K4 · pith_short_16: KOZZPLGEV3K4KERC · pith_short_8: KOZZPLGE

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/KOZZPLGEV3K4KERCOH7KXFYWUL \
  | 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: 53b397acc4aed5c5122271feab9716a2eb95c0ea0e768a3549537e97d61bb9e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81b0855633e693608d361140f20b55d4df47f68e343fba9b97d148db16f84584",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-22T11:22:05Z",
    "title_canon_sha256": "33f4efc1668fa566c03799d8580a5d3ba468040896502b9704de0017015670d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5267",
    "kind": "arxiv",
    "version": 1
  }
}