Pith Number

pith:FDG2NNN6

pith:2015:FDG2NNN6VDMHGY44K6L4VAASLN

not attested not anchored not stored refs pending

A Generalization of the Borkar-Meyn Theorem for Stochastic Recursive Inclusions

Arunselvan Ramaswamy, Shalabh Bhatnagar

arxiv:1502.01953 v3 · 2015-02-06 · cs.SY · math.DS · 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{FDG2NNN6VDMHGY44K6L4VAASLN}

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	2026-05-18T01:03:53.301700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28cda6b5bea8d873639c5797ca80125b7ee8c7b6af127daa287286a658e95a40

Aliases

arxiv: 1502.01953 · arxiv_version: 1502.01953v3 · doi: 10.48550/arxiv.1502.01953 · pith_short_12: FDG2NNN6VDMH · pith_short_16: FDG2NNN6VDMHGY44 · pith_short_8: FDG2NNN6

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/FDG2NNN6VDMHGY44K6L4VAASLN \
  | 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: 28cda6b5bea8d873639c5797ca80125b7ee8c7b6af127daa287286a658e95a40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec1510de2d954450ea77f381771f8aeb703373bd638fd09ad626d080df8b8945",
    "cross_cats_sorted": [
      "math.DS",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2015-02-06T16:56:27Z",
    "title_canon_sha256": "69bd37699633892acaa131f3208b7f2e9995a2857eb34d6c67e964ea1917a790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01953",
    "kind": "arxiv",
    "version": 3
  }
}