Pith Number

pith:FKA72LVY

pith:2015:FKA72LVYPTNNBDI2MLDUCUKU6U

not attested not anchored not stored refs pending

On the functional CLT for stationary Markov Chains started at a point

Costel Peligrad, David Barrera, Magda Peligrad

arxiv:1503.05532 v3 · 2015-03-18 · 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{FKA72LVYPTNNBDI2MLDUCUKU6U}

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	2026-05-18T01:22:48.552068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a81fd2eb87cdad08d1a62c7415154f52cd05d360cf1a956bb58d8ab30a5031e

Aliases

arxiv: 1503.05532 · arxiv_version: 1503.05532v3 · doi: 10.48550/arxiv.1503.05532 · pith_short_12: FKA72LVYPTNN · pith_short_16: FKA72LVYPTNNBDI2 · pith_short_8: FKA72LVY

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/FKA72LVYPTNNBDI2MLDUCUKU6U \
  | 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: 2a81fd2eb87cdad08d1a62c7415154f52cd05d360cf1a956bb58d8ab30a5031e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fa0d86e5257476370c00de3a62c6eeca5fd61a7b91442d0f7e7142e1df44eb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-18T19:02:38Z",
    "title_canon_sha256": "c91c5596c73ba50bbf594d564cf158e90732619081c6d69ac1de7198477b74df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05532",
    "kind": "arxiv",
    "version": 3
  }
}