Pith Number

pith:B7MVJNMJ

pith:2015:B7MVJNMJVSNBUMWXIDH3OF65L4

not attested not anchored not stored refs pending

Comparison of viscosity solutions of fully nonlinear degenerate parabolic Path-dependent PDEs

Jianfeng Zhang, Nizar Touzi, Zhenjie Ren

arxiv:1511.05910 v1 · 2015-11-18 · 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{B7MVJNMJVSNBUMWXIDH3OF65L4}

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	2026-05-18T01:26:32.332884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fd954b589ac9a1a32d740cfb717dd5f3ceaf6954fd237f5b12bac68aa04099c

Aliases

arxiv: 1511.05910 · arxiv_version: 1511.05910v1 · doi: 10.48550/arxiv.1511.05910 · pith_short_12: B7MVJNMJVSNB · pith_short_16: B7MVJNMJVSNBUMWX · pith_short_8: B7MVJNMJ

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/B7MVJNMJVSNBUMWXIDH3OF65L4 \
  | 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: 0fd954b589ac9a1a32d740cfb717dd5f3ceaf6954fd237f5b12bac68aa04099c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be44ac3b2c7766234911507d3312e2ac435a5c214aa1e6d9d91c989f84c93de0",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-18T18:57:48Z",
    "title_canon_sha256": "77b3e4be76c0f52fb3f72eedf6d4a0938d6bdd0d1374d4f128da66faad79bd2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05910",
    "kind": "arxiv",
    "version": 1
  }
}