Pith Number

pith:XIWLDYHK

pith:2026:XIWLDYHKA6DTL6SJJ67B4ZUHKC

not attested not anchored not stored refs pending

Quantification of ergodicity for Hamilton--Jacobi equations in a dynamic random environment

Hung Vinh Tran, Wenjia Jing, Xiaoqin Guo, Yuming Paul Zhang

arxiv:2604.00315 v2 · 2026-03-31 · 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{XIWLDYHKA6DTL6SJJ67B4ZUHKC}

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	2026-05-22T01:04:01.262089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba2cb1e0ea078735fa494fbe1e6687508cad709d0ab6ff88af1c94a6ca461bd9

Aliases

arxiv: 2604.00315 · arxiv_version: 2604.00315v2 · doi: 10.48550/arxiv.2604.00315 · pith_short_12: XIWLDYHKA6DT · pith_short_16: XIWLDYHKA6DTL6SJ · pith_short_8: XIWLDYHK

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/XIWLDYHKA6DTL6SJJ67B4ZUHKC \
  | 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: ba2cb1e0ea078735fa494fbe1e6687508cad709d0ab6ff88af1c94a6ca461bd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a93b0387e623695ddeed0e45e49bf2c95531d632864fbb3a0bf4ffde20d65065",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-03-31T23:27:26Z",
    "title_canon_sha256": "4a703b12702486372fdd2e8d1ed6c3ca6fe37ea5742c3cc51fb8aa312982408e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.00315",
    "kind": "arxiv",
    "version": 2
  }
}