Pith Number

pith:GMLLORU5

pith:2017:GMLLORU5TSLQOYPTHQWFSJ72FJ

not attested not anchored not stored refs pending

Mini-Flash Crashes, Model Risk, and Optimal Execution

Alexander Munk, Erhan Bayraktar

arxiv:1705.09827 v2 · 2017-05-27 · q-fin.TR · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMLLORU5TSLQOYPTHQWFSJ72FJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:08:23.666885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3316b7469d9c970761f33c2c5927fa2a7e9fc9dd536119b31182f4e4697d6331

Aliases

arxiv: 1705.09827 · arxiv_version: 1705.09827v2 · doi: 10.48550/arxiv.1705.09827 · pith_short_12: GMLLORU5TSLQ · pith_short_16: GMLLORU5TSLQOYPT · pith_short_8: GMLLORU5

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/GMLLORU5TSLQOYPTHQWFSJ72FJ \
  | 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: 3316b7469d9c970761f33c2c5927fa2a7e9fc9dd536119b31182f4e4697d6331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa04275f7955a85d17c6f801aec4995d82db6cd329864e04fa5d03f08ded2a89",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.TR",
    "submitted_at": "2017-05-27T15:01:51Z",
    "title_canon_sha256": "150c868a79b2a109230ef18cc900d323513de66cbe176ab218d99417ae23c4ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09827",
    "kind": "arxiv",
    "version": 2
  }
}