Pith Number

pith:C5XKBJNG

pith:2011:C5XKBJNGAMV457K32H6RMMHQRP

not attested not anchored not stored refs pending

Uniform moment bounds of multi-dimensional functions of discrete-time stochastic processes

Arnab Ganguly, Debasish Chatterjee, Heinz Koeppl, John Lygeros

arxiv:1107.4749 v1 · 2011-07-24 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5XKBJNGAMV457K32H6RMMHQRP}

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	2026-05-18T04:16:54.732088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

176ea0a5a6032bcefd5bd1fd1630f08bc422437ecb95a5d505a320107cbd409b

Aliases

arxiv: 1107.4749 · arxiv_version: 1107.4749v1 · doi: 10.48550/arxiv.1107.4749 · pith_short_12: C5XKBJNGAMV4 · pith_short_16: C5XKBJNGAMV457K3 · pith_short_8: C5XKBJNG

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/C5XKBJNGAMV457K32H6RMMHQRP \
  | 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: 176ea0a5a6032bcefd5bd1fd1630f08bc422437ecb95a5d505a320107cbd409b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4e0cfe89b8db97f5bc2dcd92f0db56a2a505d1c7f45a21205691baf417c0916",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-24T11:59:35Z",
    "title_canon_sha256": "617e58fbbe49de5baf850aededa67086932c278da6221a5f47aaa2028911eb0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4749",
    "kind": "arxiv",
    "version": 1
  }
}