Pith Number

pith:LZJWYRVG

pith:2019:LZJWYRVGP77YKJUGKI256UBSHJ

not attested not anchored not stored refs pending

Generalized ergodic problems: existence and uniqueness structures of solutions

Hiroyoshi Mitake, Hung V. Tran, Wenjia Jing

arxiv:1902.05034 v1 · 2019-02-13 · 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{LZJWYRVGP77YKJUGKI256UBSHJ}

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	2026-05-17T23:54:03.572385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e536c46a67fff8526865235df50323a4dd263bd0a3fbba1f8e47500b45d2e09

Aliases

arxiv: 1902.05034 · arxiv_version: 1902.05034v1 · doi: 10.48550/arxiv.1902.05034 · pith_short_12: LZJWYRVGP77Y · pith_short_16: LZJWYRVGP77YKJUG · pith_short_8: LZJWYRVG

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/LZJWYRVGP77YKJUGKI256UBSHJ \
  | 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: 5e536c46a67fff8526865235df50323a4dd263bd0a3fbba1f8e47500b45d2e09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1028d85e6dea1cba3a45fcd101cefe57acc38b65b461d14d1d6672271c1e507d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-13T17:56:23Z",
    "title_canon_sha256": "04fc922b843efa9f7cd8b6081eb978cbdbde5bb454d5c176fd6193d000c4d448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05034",
    "kind": "arxiv",
    "version": 1
  }
}