Pith Number

pith:APT5CQAZ

pith:2010:APT5CQAZEQTRW63PYDDMIDWHAY

not attested not anchored not stored refs pending

Transaction fees and optimal rebalancing in the growth-optimal portfolio

Liang Zhang, Matus Medo, Yi-Cheng Zhang, Yu Feng

arxiv:1009.3753 v2 · 2010-09-20 · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APT5CQAZEQTRW63PYDDMIDWHAY}

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	2026-05-18T04:24:52.945696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03e7d1401924271b7b6fc0c6c40ec7060ef8af37237fc45527724424138a92ac

Aliases

arxiv: 1009.3753 · arxiv_version: 1009.3753v2 · doi: 10.48550/arxiv.1009.3753 · pith_short_12: APT5CQAZEQTR · pith_short_16: APT5CQAZEQTRW63P · pith_short_8: APT5CQAZ

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/APT5CQAZEQTRW63PYDDMIDWHAY \
  | 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: 03e7d1401924271b7b6fc0c6c40ec7060ef8af37237fc45527724424138a92ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f6196052889418194b34082595fc1e5e6c244b6a1159da300387ec842ea7d3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2010-09-20T10:00:49Z",
    "title_canon_sha256": "b92ef08a97381076e6580b4c2e1ed7c8a84763e096bea8c1df41eb72b205d30a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3753",
    "kind": "arxiv",
    "version": 2
  }
}