Pith Number

pith:5GPLR3SC

pith:2024:5GPLR3SCGARRVQHKYHBVGGIHUF

not attested not anchored not stored refs pending

Polynomial Convergence Rate for Quasi-Periodic Homogenization of Hamilton-Jacobi Equations and Application to Ergodic Estimates

Bingyang Hu, Jianlu Zhang, Son N.T. Tu

arxiv:2405.11516 v4 · 2024-05-19 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GPLR3SCGARRVQHKYHBVGGIHUF}

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	2026-07-05T09:52:11.709947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e99eb8ee4230231ac0eac1c3531907a153b02f6bd3922cd93a1954830a2279a8

Aliases

arxiv: 2405.11516 · arxiv_version: 2405.11516v4 · doi: 10.48550/arxiv.2405.11516 · pith_short_12: 5GPLR3SCGARR · pith_short_16: 5GPLR3SCGARRVQHK · pith_short_8: 5GPLR3SC

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/5GPLR3SCGARRVQHKYHBVGGIHUF \
  | 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: e99eb8ee4230231ac0eac1c3531907a153b02f6bd3922cd93a1954830a2279a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "152ee897774047abe570987cdad69c97690fa410303ed60f12d9d2074026ee87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-05-19T10:57:13Z",
    "title_canon_sha256": "cbb3ea8be44eb9f8d88f1ad4fefd50cf3af60ba70ef4aa3dc87e3af1ddba51ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.11516",
    "kind": "arxiv",
    "version": 4
  }
}