Pith Number

pith:XPKYB2CX

pith:2013:XPKYB2CXTTEUZK6ORAPD7DYZQW

not attested not anchored not stored refs pending

Additive versus multiplicative parameters - applications in economics and finance

Helena Jasiulewicz, Wojciech Kordecki

arxiv:1306.4994 v2 · 2013-06-20 · q-fin.ST

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPKYB2CXTTEUZK6ORAPD7DYZQW}

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	2026-05-18T00:55:26.070395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd580e8579cc94cabce881e3f8f1985951f2793a89d9511dcfca02f6a05b13b

Aliases

arxiv: 1306.4994 · arxiv_version: 1306.4994v2 · doi: 10.48550/arxiv.1306.4994 · pith_short_12: XPKYB2CXTTEU · pith_short_16: XPKYB2CXTTEUZK6O · pith_short_8: XPKYB2CX

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/XPKYB2CXTTEUZK6ORAPD7DYZQW \
  | 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: bbd580e8579cc94cabce881e3f8f1985951f2793a89d9511dcfca02f6a05b13b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b184a40632d2a2294fc387ecf4b46fc5e48c94823bb3415ff834446cbdb9919f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.ST",
    "submitted_at": "2013-06-20T20:34:30Z",
    "title_canon_sha256": "bdb3b036f59537d527927b510671f3e41ee887eea83aeedd1b1422446b2bea24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4994",
    "kind": "arxiv",
    "version": 2
  }
}