Pith Number

pith:BQA27F3Y

pith:2015:BQA27F3YPHIHUIUMTFMQ4GPCOL

not attested not anchored not stored refs pending

Volume Weighted Average Price Optimal Execution

Enzo Busseti, Stephen Boyd

arxiv:1509.08503 v1 · 2015-09-28 · q-fin.TR · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQA27F3YPHIHUIUMTFMQ4GPCOL}

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	2026-05-18T01:31:52.487246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c01af977879d07a228c99590e19e272e4a58ac5f35dd597207d29eae8d6c527

Aliases

arxiv: 1509.08503 · arxiv_version: 1509.08503v1 · doi: 10.48550/arxiv.1509.08503 · pith_short_12: BQA27F3YPHIH · pith_short_16: BQA27F3YPHIHUIUM · pith_short_8: BQA27F3Y

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/BQA27F3YPHIHUIUMTFMQ4GPCOL \
  | 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: 0c01af977879d07a228c99590e19e272e4a58ac5f35dd597207d29eae8d6c527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56273c13f55d4c20677888031e54f04972af187dd000f165d7f3b2a605d5dc32",
    "cross_cats_sorted": [
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.TR",
    "submitted_at": "2015-09-28T20:52:40Z",
    "title_canon_sha256": "27661404be07a865bc3ecfa51381d6e78b48aee05afed3d57b76d19e570df1a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08503",
    "kind": "arxiv",
    "version": 1
  }
}