Pith Number

pith:YRQKGRQI

pith:2016:YRQKGRQIFPZ65LY2BGML5LBPEY

not attested not anchored not stored refs pending

A spectral method for an Optimal Investment problem with Transaction Costs under Potential Utility

Javier de Frutos, Victor Gaton

arxiv:1612.09469 v1 · 2016-12-30 · q-fin.CP · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRQKGRQIFPZ65LY2BGML5LBPEY}

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	2026-05-18T00:51:06.862266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c460a346082bf3eeaf1a0998beac2f26265438192ac31a54e16ddcfb55eb61a6

Aliases

arxiv: 1612.09469 · arxiv_version: 1612.09469v1 · doi: 10.48550/arxiv.1612.09469 · pith_short_12: YRQKGRQIFPZ6 · pith_short_16: YRQKGRQIFPZ65LY2 · pith_short_8: YRQKGRQI

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/YRQKGRQIFPZ65LY2BGML5LBPEY \
  | 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: c460a346082bf3eeaf1a0998beac2f26265438192ac31a54e16ddcfb55eb61a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16a02cc32fae36e6066a5900ac00c3d18ae1cf3710da8f39fbc6317e709642f4",
    "cross_cats_sorted": [
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2016-12-30T12:05:06Z",
    "title_canon_sha256": "7236e317c3945bc26138682f8c8737467abcfeda73833a36d8a34e1ab5030d76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09469",
    "kind": "arxiv",
    "version": 1
  }
}