Pith Number

pith:UMR3DJNW

pith:2015:UMR3DJNWV43WV7YJYVXTHAZQBO

not attested not anchored not stored refs pending

An explicit solution for optimal investment problems with autoregressive prices and exponential utility

Mikl\'os R\'asonyi, S\'andor De\'ak

arxiv:1501.01506 v1 · 2015-01-07 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMR3DJNWV43WV7YJYVXTHAZQBO}

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	2026-05-18T02:29:53.941813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a323b1a5b6af376aff09c56f3383300ba4884cb7535ea9f720b68a006d373624

Aliases

arxiv: 1501.01506 · arxiv_version: 1501.01506v1 · doi: 10.48550/arxiv.1501.01506 · pith_short_12: UMR3DJNWV43W · pith_short_16: UMR3DJNWV43WV7YJ · pith_short_8: UMR3DJNW

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/UMR3DJNWV43WV7YJYVXTHAZQBO \
  | 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: a323b1a5b6af376aff09c56f3383300ba4884cb7535ea9f720b68a006d373624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04eb8596b4f865b2476f2766c8dd5ca994f4662f6f0c3e0b2e0be21d30421979",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-01-07T14:37:56Z",
    "title_canon_sha256": "fb47a71a28dc3b999c42e23c4530ac3e79832ade53875e5831707d3844152fd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01506",
    "kind": "arxiv",
    "version": 1
  }
}