Pith Number

pith:BPTYNMYR

pith:2011:BPTYNMYRLT4QSOTTUB7CTIH3E4

not attested not anchored not stored refs pending

Necessary and sufficient conditions in the problem of optimal investment with intermediate consumption

Oleksii Mostovyi

arxiv:1107.5852 v3 · 2011-07-29 · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPTYNMYRLT4QSOTTUB7CTIH3E4}

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	2026-05-18T03:51:02.369724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0be786b3115cf9093a73a07e29a0fb2737dea6e18624f5fae27ed6f127302855

Aliases

arxiv: 1107.5852 · arxiv_version: 1107.5852v3 · doi: 10.48550/arxiv.1107.5852 · pith_short_12: BPTYNMYRLT4Q · pith_short_16: BPTYNMYRLT4QSOTT · pith_short_8: BPTYNMYR

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/BPTYNMYRLT4QSOTTUB7CTIH3E4 \
  | 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: 0be786b3115cf9093a73a07e29a0fb2737dea6e18624f5fae27ed6f127302855

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efd58bccd43359ab81e06f1bf1dabeebc997cf16cf4ab6946704398fb15d7ae0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2011-07-29T01:21:26Z",
    "title_canon_sha256": "53efff3255b3e30eec44442ab855dea0930a387fe9cf6d0caa418be40ec7a12b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5852",
    "kind": "arxiv",
    "version": 3
  }
}