Pith Number

pith:4ODI33AO

pith:2017:4ODI33AO3BIZUWUAUB6JMOUVSF

not attested not anchored not stored refs pending

Derivation of the Boltzmann Equation for Financial Brownian Motion: Direct Observation of the Collective Motion of High-Frequency Traders

Hideki Takayasu, Kiyoshi Kanazawa, Misako Takayasu, Takumi Sueshige

arxiv:1703.06739 v3 · 2017-03-06 · q-fin.TR · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ODI33AO3BIZUWUAUB6JMOUVSF}

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	2026-05-18T00:19:47.645069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3868dec0ed8519a5a80a07c963a95914c0cbaa5f24ae7516355144ca7057368

Aliases

arxiv: 1703.06739 · arxiv_version: 1703.06739v3 · doi: 10.48550/arxiv.1703.06739 · pith_short_12: 4ODI33AO3BIZ · pith_short_16: 4ODI33AO3BIZUWUA · pith_short_8: 4ODI33AO

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/4ODI33AO3BIZUWUAUB6JMOUVSF \
  | 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: e3868dec0ed8519a5a80a07c963a95914c0cbaa5f24ae7516355144ca7057368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef263961420406d990980c4a2fa9f2b19dcd3990d30233723079dbf330665361",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.TR",
    "submitted_at": "2017-03-06T06:45:05Z",
    "title_canon_sha256": "09f7cfc00b1a0fbcfd91527e73c7428bc64bbd20e518b3a92497c39b3b1f83d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06739",
    "kind": "arxiv",
    "version": 3
  }
}