Pith Number

pith:VCV2LR7T

pith:2016:VCV2LR7T6HNFJHO3WXJW54PHT2

not attested not anchored not stored refs pending

On the Optimal Management of Public Debt: a Singular Stochastic Control Problem

Giorgio Ferrari

arxiv:1607.04153 v3 · 2016-07-14 · math.OC · 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{VCV2LR7T6HNFJHO3WXJW54PHT2}

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	2026-05-18T00:27:10.039867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8aba5c7f3f1da549ddbb5d36ef1e79ea642746c52ee8ab76edfd05b4ad198ef

Aliases

arxiv: 1607.04153 · arxiv_version: 1607.04153v3 · doi: 10.48550/arxiv.1607.04153 · pith_short_12: VCV2LR7T6HNF · pith_short_16: VCV2LR7T6HNFJHO3 · pith_short_8: VCV2LR7T

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/VCV2LR7T6HNFJHO3WXJW54PHT2 \
  | 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: a8aba5c7f3f1da549ddbb5d36ef1e79ea642746c52ee8ab76edfd05b4ad198ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e708628c4e2b6b704e7287e9c175fff3631e7f4ed6a0da1b672c8f1f99fc04c",
    "cross_cats_sorted": [
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-14T14:40:16Z",
    "title_canon_sha256": "4c5ad37432c96fcd0a978989230963ea1686b811b30a3a062fabe585b716859e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04153",
    "kind": "arxiv",
    "version": 3
  }
}