Pith Number

pith:3FTEUUUU

pith:2016:3FTEUUUUZ6SUAKPPML3THHEYGV

not attested not anchored not stored refs pending

Optimal Liquidation under Stochastic Liquidity

Dirk Becherer, Peter Frentrup, Todor Bilarev

arxiv:1603.06498 v4 · 2016-03-21 · math.PR · math.OC · 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{3FTEUUUUZ6SUAKPPML3THHEYGV}

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	2026-05-17T23:42:14.520963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9664a5294cfa54029ef62f7339c983552aa15a83224a83d3220ec55d81175a3

Aliases

arxiv: 1603.06498 · arxiv_version: 1603.06498v4 · doi: 10.48550/arxiv.1603.06498 · pith_short_12: 3FTEUUUUZ6SU · pith_short_16: 3FTEUUUUZ6SUAKPP · pith_short_8: 3FTEUUUU

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/3FTEUUUUZ6SUAKPPML3THHEYGV \
  | 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: d9664a5294cfa54029ef62f7339c983552aa15a83224a83d3220ec55d81175a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d67edf66215e606e5f3253327b4a6f1b6f7f649d5a1701cf7fa14e5cbf7413d",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.MF",
      "q-fin.TR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-21T17:01:39Z",
    "title_canon_sha256": "6398da1f4daa265cf76b2a0f5089d21d843bdf177e538278eb55915250edf01c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06498",
    "kind": "arxiv",
    "version": 4
  }
}