Pith Number

pith:WE4TOWKE

pith:2016:WE4TOWKEMZFBMSJCO7RNGI2UFL

not attested not anchored not stored refs pending

Stochastic homogenization of viscous superquadratic Hamilton-Jacobi equations in dynamic random environment

Hung V. Tran, Panagiotis E. Souganidis, Wenjia Jing

arxiv:1606.06409 v2 · 2016-06-21 · math.AP · math.OC · 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{WE4TOWKEMZFBMSJCO7RNGI2UFL}

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	2026-05-18T00:51:25.564560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b139375944664a16492277e2d323542afe59522248a97d16775e2a9816d079f1

Aliases

arxiv: 1606.06409 · arxiv_version: 1606.06409v2 · doi: 10.48550/arxiv.1606.06409 · pith_short_12: WE4TOWKEMZFB · pith_short_16: WE4TOWKEMZFBMSJC · pith_short_8: WE4TOWKE

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/WE4TOWKEMZFBMSJCO7RNGI2UFL \
  | 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: b139375944664a16492277e2d323542afe59522248a97d16775e2a9816d079f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3020c8aee4e118b125e0bb874310d88399ed43b0e4e7ffcddeffd4e8acecdc9",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-21T03:31:18Z",
    "title_canon_sha256": "ce3222a0ad892e585afc36823d5e63b53eb1c9477001e4f856f83aa20496566c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06409",
    "kind": "arxiv",
    "version": 2
  }
}