Pith Number

pith:FHRJPLKN

pith:2014:FHRJPLKNKHOEYAATIZEVYMGKAA

not attested not anchored not stored refs pending

Comparing the $G$-Normal Distribution to its Classical Counterpart

Alexander Munk, Erhan Bayraktar

arxiv:1407.5139 v2 · 2014-07-19 · math.PR · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHRJPLKNKHOEYAATIZEVYMGKAA}

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	2026-05-18T02:32:13.850290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29e297ad4d51dc4c001346495c30ca003a6f0aeb31afdeb5314673aa391cb101

Aliases

arxiv: 1407.5139 · arxiv_version: 1407.5139v2 · doi: 10.48550/arxiv.1407.5139 · pith_short_12: FHRJPLKNKHOE · pith_short_16: FHRJPLKNKHOEYAAT · pith_short_8: FHRJPLKN

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/FHRJPLKNKHOEYAATIZEVYMGKAA \
  | 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: 29e297ad4d51dc4c001346495c30ca003a6f0aeb31afdeb5314673aa391cb101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae80cd6b2d7c6bebb4b0cc7ae540091cf17baad05c8e6b32ec6c30fba20a3498",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-19T01:17:47Z",
    "title_canon_sha256": "e518a33ef3bc99a8ced04f1a91f64fe42a536c76f1e418b31fd5e26212b0a66f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5139",
    "kind": "arxiv",
    "version": 2
  }
}