Pith Number

pith:PZANHXIO

pith:2026:PZANHXIOQMWLSY3ELOSNW7RR23

not attested not anchored not stored refs pending

Optimal Dynamic Fees for Automated Market Makers: A Stochastic Control Approach to Loss-Versus-Rebalancing

Farbod Ghasemlu

arxiv:2606.21769 v1 · 2026-06-19 · q-fin.MF · q-fin.TR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZANHXIOQMWLSY3ELOSNW7RR23}

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	2026-06-23T01:13:21.945894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e40d3dd0e832cb963645ba4db7e31d6fc8fda9049bac86155e52f7ea4605ebc

Aliases

arxiv: 2606.21769 · arxiv_version: 2606.21769v1 · doi: 10.48550/arxiv.2606.21769 · pith_short_12: PZANHXIOQMWL · pith_short_16: PZANHXIOQMWLSY3E · pith_short_8: PZANHXIO

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/PZANHXIOQMWLSY3ELOSNW7RR23 \
  | 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: 7e40d3dd0e832cb963645ba4db7e31d6fc8fda9049bac86155e52f7ea4605ebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa1e78715dda5232e0802c4e4a642fa764e73cce888870963871e6feb3c5040e",
    "cross_cats_sorted": [
      "q-fin.TR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2026-06-19T21:34:27Z",
    "title_canon_sha256": "99e59a8afd582e52a484b9e7c4aff09d2e3b73a92f62a29b4c342c39938ac396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21769",
    "kind": "arxiv",
    "version": 1
  }
}