Pith Number

pith:7ZXDJYGZ

pith:2026:7ZXDJYGZT6YF6DXDNWFJDT4QR4

not attested not anchored not stored refs pending

Square-Root Price Impact Is Necessary for Endogenous Manipulation Cycles in Learning-Agent Markets

Jianwen Chen, Ruipeng Wei, Yang Zhou

arxiv:2607.05141 v1 · 2026-07-06 · q-fin.CP · econ.TH · nlin.AO · 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{7ZXDJYGZT6YF6DXDNWFJDT4QR4}

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	2026-07-07T03:19:17.449475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe6e34e0d99fb05f0ee36d8a91cf908f20248df49f166214dca802569e7e5313

Aliases

arxiv: 2607.05141 · arxiv_version: 2607.05141v1 · doi: 10.48550/arxiv.2607.05141 · pith_short_12: 7ZXDJYGZT6YF · pith_short_16: 7ZXDJYGZT6YF6DXD · pith_short_8: 7ZXDJYGZ

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/7ZXDJYGZT6YF6DXDNWFJDT4QR4 \
  | 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: fe6e34e0d99fb05f0ee36d8a91cf908f20248df49f166214dca802569e7e5313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bd66f5d32b22c40edc0e749ed0b45d8d41233ff7ef564cd83ff79721888b42d",
    "cross_cats_sorted": [
      "econ.TH",
      "nlin.AO",
      "q-fin.TR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2026-07-06T14:25:18Z",
    "title_canon_sha256": "dec71c8901fce7af773d38409d7fde5f5aac1f4f5b9ebf9e36b195d344f6f675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05141",
    "kind": "arxiv",
    "version": 1
  }
}