Pith Number

pith:V4NA3X2T

pith:2010:V4NA3X2TFDTILTXV6LALO5CPWA

not attested not anchored not stored refs pending

Yet another breakdown point notion: EFSBP - illustrated at scale-shape models

Department of Financial Mathematics, Dept. of Mathematics, Nataliya Horbenko (Fraunhofer ITWM, Peter Ruckdeschel, Univerisity of Kaiserslautern)

arxiv:1005.1480 v3 · 2010-05-10 · stat.ME · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4NA3X2TFDTILTXV6LALO5CPWA}

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	2026-05-18T02:24:08.609164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af1a0ddf5328e685cef5f2c0b7744fb03733263399ba4ea192ca1b84f7fbd73c

Aliases

arxiv: 1005.1480 · arxiv_version: 1005.1480v3 · doi: 10.48550/arxiv.1005.1480 · pith_short_12: V4NA3X2TFDTI · pith_short_16: V4NA3X2TFDTILTXV · pith_short_8: V4NA3X2T

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/V4NA3X2TFDTILTXV6LALO5CPWA \
  | 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: af1a0ddf5328e685cef5f2c0b7744fb03733263399ba4ea192ca1b84f7fbd73c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15b32a0fc0f7a088ab3b3326c5e18ffc998e04548613a6ec6818d93065c28b6f",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2010-05-10T09:25:04Z",
    "title_canon_sha256": "c04b0baa79d105ffdb7f41f5a6f5db5912b97f9c6e5b7ad19aa9d1d895fd8d0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1480",
    "kind": "arxiv",
    "version": 3
  }
}