Pith Number

pith:MFQRNZM7

pith:2020:MFQRNZM7JZIE6DKWSQHHAMMPKJ

not attested not anchored not stored refs pending

Markov risk mappings and risk-sensitive optimal prediction

John Moriarty, Randall Martyr, Tomasz Kosmala

arxiv:2001.06895 v4 · 2020-01-19 · math.OC · math.PR · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFQRNZM7JZIE6DKWSQHHAMMPKJ}

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	2026-07-05T04:53:59.770468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

616116e59f4e504f0d56940e70318f526772221ac265c3adbfcd071df9cbb9df

Aliases

arxiv: 2001.06895 · arxiv_version: 2001.06895v4 · doi: 10.48550/arxiv.2001.06895 · pith_short_12: MFQRNZM7JZIE · pith_short_16: MFQRNZM7JZIE6DKW · pith_short_8: MFQRNZM7

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/MFQRNZM7JZIE6DKWSQHHAMMPKJ \
  | 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: 616116e59f4e504f0d56940e70318f526772221ac265c3adbfcd071df9cbb9df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f1876804833b0af3cfb7a731055d1ded1c3a5af34a07e8ccd8a298add6b1cd",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-01-19T20:14:31Z",
    "title_canon_sha256": "91c8c2a4f44357660c3a2eb06d94d7ee19a798ef9c57121b381f9bb7000ae891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.06895",
    "kind": "arxiv",
    "version": 4
  }
}