Pith Number

pith:IMOGF47P

pith:2013:IMOGF47PTHUJHL5HEHEJOMA4PY

not attested not anchored not stored refs pending

Functional limit theorems for processes pieced together from excursions

Kouji Yano

arxiv:1309.2652 v3 · 2013-09-10 · 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{IMOGF47PTHUJHL5HEHEJOMA4PY}

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	2026-05-18T02:47:52.940750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

431c62f3ef99e893afa721c897301c7e078549c0de7ccb5a0325a02b4bba3133

Aliases

arxiv: 1309.2652 · arxiv_version: 1309.2652v3 · doi: 10.48550/arxiv.1309.2652 · pith_short_12: IMOGF47PTHUJ · pith_short_16: IMOGF47PTHUJHL5H · pith_short_8: IMOGF47P

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/IMOGF47PTHUJHL5HEHEJOMA4PY \
  | 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: 431c62f3ef99e893afa721c897301c7e078549c0de7ccb5a0325a02b4bba3133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff6643434f152a15fb37485ac742253f2d0b40a325c61ea0f857465f22a92cf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-10T20:03:02Z",
    "title_canon_sha256": "598b400f19ef9dadfb8dd40db29902d20c7234df428dc8168528593fff1d4f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2652",
    "kind": "arxiv",
    "version": 3
  }
}