Pith Number

pith:P4XCBJGN

pith:2019:P4XCBJGNJPYJN4F7263ZKC7FKA

not attested not anchored not stored refs pending

Some Limit Properties of Markov Chains Induced by Stochastic Recursive Algorithms

Abhishek Gupta, Gaurav Tendolkar, Hao Chen, Jianzong Pi

arxiv:1904.10778 v2 · 2019-04-24 · cs.LG · cs.SY · eess.SY · math.OC · math.PR · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4XCBJGNJPYJN4F7263ZKC7FKA}

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	2026-06-04T20:14:27.099922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f2e20a4cd4bf096f0bfd7b7950be5500b074381190e207b1941e94b5ac2af4d

Aliases

arxiv: 1904.10778 · arxiv_version: 1904.10778v2 · doi: 10.48550/arxiv.1904.10778 · pith_short_12: P4XCBJGNJPYJ · pith_short_16: P4XCBJGNJPYJN4F7 · pith_short_8: P4XCBJGN

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/P4XCBJGNJPYJN4F7263ZKC7FKA \
  | 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: 7f2e20a4cd4bf096f0bfd7b7950be5500b074381190e207b1941e94b5ac2af4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bc07ceb06e6ef371ffe101b37b85ad361c9d802f34481f5fb0bf2ecffdd02e8",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.OC",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-04-24T12:51:46Z",
    "title_canon_sha256": "8e675e2ed7e7e8efa218beae7752a8ea59227493b3ce410e302f4f1f9670e4ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10778",
    "kind": "arxiv",
    "version": 2
  }
}