Pith Number

pith:J6M35OSO

pith:2011:J6M35OSOIQQZCAVUHCLR5PRVOJ

not attested not anchored not stored refs pending

On viscosity solutions of path dependent PDEs

Christian Keller, Ibrahim Ekren, Jianfeng Zhang, Nizar Touzi

arxiv:1109.5971 v2 · 2011-09-27 · math.AP · 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{J6M35OSOIQQZCAVUHCLR5PRVOJ}

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	2026-05-18T03:02:21.534583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f99beba4e44219102b438971ebe35724f1144b777922e10c8d9100fd567d73b

Aliases

arxiv: 1109.5971 · arxiv_version: 1109.5971v2 · doi: 10.48550/arxiv.1109.5971 · pith_short_12: J6M35OSOIQQZ · pith_short_16: J6M35OSOIQQZCAVU · pith_short_8: J6M35OSO

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/J6M35OSOIQQZCAVUHCLR5PRVOJ \
  | 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: 4f99beba4e44219102b438971ebe35724f1144b777922e10c8d9100fd567d73b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68dd03f30dffb74bdb1890589532bdee73e4bd87875d1b6cb710d8376c9e31d6",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-27T17:02:09Z",
    "title_canon_sha256": "46067b4093ab7355246428542aa1738f48ee0c57902e75ba5bea29c97fa2d4ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5971",
    "kind": "arxiv",
    "version": 2
  }
}