Pith Number

pith:TTXXP6IB

pith:2016:TTXXP6IBFRAFEUXFTTPQURZ6OH

not attested not anchored not stored refs pending

Tauberian theorems for general iterations of operators: applications to zero-sum stochastic games

Bruno Ziliotto

arxiv:1609.02175 v1 · 2016-09-07 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTXXP6IBFRAFEUXFTTPQURZ6OH}

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	2026-05-18T01:04:55.266900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cef77f9012c405252e59cdf0a473e71d12fb1ff28c516351d1750f947517aa0

Aliases

arxiv: 1609.02175 · arxiv_version: 1609.02175v1 · doi: 10.48550/arxiv.1609.02175 · pith_short_12: TTXXP6IBFRAF · pith_short_16: TTXXP6IBFRAFEUXF · pith_short_8: TTXXP6IB

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/TTXXP6IBFRAFEUXFTTPQURZ6OH \
  | 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: 9cef77f9012c405252e59cdf0a473e71d12fb1ff28c516351d1750f947517aa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "150ef4ded08c41cd435755232a001b35774a1ce484e8f472b469947f7f7c1b6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-07T20:28:59Z",
    "title_canon_sha256": "99860f1651ed2c1f04b29781973d1195eace32548407d9bc345b7cd1e56e05f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02175",
    "kind": "arxiv",
    "version": 1
  }
}