Pith Number

pith:J4FY6SEY

pith:2015:J4FY6SEYBKJHPXEN7TJPQYPDAO

not attested not anchored not stored refs pending

Optimal Real-Time Bidding Strategies

Jean-Michel Lasry, Joaquin Fernandez-Tapia, Olivier Gu\'eant

arxiv:1511.08409 v2 · 2015-11-26 · math.OC · 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{J4FY6SEYBKJHPXEN7TJPQYPDAO}

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	2026-05-18T01:12:19.873889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f0b8f48980a9277dc8dfcd2f861e3039650d2af52ac8543660e0cdc0f9486d5

Aliases

arxiv: 1511.08409 · arxiv_version: 1511.08409v2 · doi: 10.48550/arxiv.1511.08409 · pith_short_12: J4FY6SEYBKJH · pith_short_16: J4FY6SEYBKJHPXEN · pith_short_8: J4FY6SEY

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/J4FY6SEYBKJHPXEN7TJPQYPDAO \
  | 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: 4f0b8f48980a9277dc8dfcd2f861e3039650d2af52ac8543660e0cdc0f9486d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f4668ba0e151d28ac1e2673df032fc96dfe6823b9f176324bb7268c0b4bae84",
    "cross_cats_sorted": [
      "q-fin.TR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-11-26T15:08:42Z",
    "title_canon_sha256": "78fa2ccd7ddb2be54cac1d6d40d1e76743c5bc98c79bf27775e7df766381f004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08409",
    "kind": "arxiv",
    "version": 2
  }
}