Pith Number

pith:NDP2I4YN

pith:2013:NDP2I4YNXIGRZD2JUCXX44URPO

not attested not anchored not stored refs pending

Fluctuation analysis and short time asymptotics for multiple scales diffusion processes

Konstantinos Spiliopoulos

arxiv:1306.1499 v3 · 2013-06-06 · 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{NDP2I4YNXIGRZD2JUCXX44URPO}

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	2026-05-18T02:26:51.712079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68dfa4730dba0d1c8f49a0af7e72917ba99b99bad5707a1552e378b897f62419

Aliases

arxiv: 1306.1499 · arxiv_version: 1306.1499v3 · doi: 10.48550/arxiv.1306.1499 · pith_short_12: NDP2I4YNXIGR · pith_short_16: NDP2I4YNXIGRZD2J · pith_short_8: NDP2I4YN

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/NDP2I4YNXIGRZD2JUCXX44URPO \
  | 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: 68dfa4730dba0d1c8f49a0af7e72917ba99b99bad5707a1552e378b897f62419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cabaff107675e090023361a369c5e76aad472fa9d3be41cf3c5360f8aa5aecf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-06T18:27:54Z",
    "title_canon_sha256": "4ab570e726e91478bd9035b6c4906bc1f3699c7afbd19e767677b1b0d2a2bd52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1499",
    "kind": "arxiv",
    "version": 3
  }
}