Pith Number

pith:BP5CKIYN

pith:2026:BP5CKIYNCLWKMOIHSGLRIQG35R

not attested not anchored not stored refs pending

Beyond the Bellman Recursion: A Pontryagin-Guided Framework for Non-Exponential Discounting

Hojin Ko, Jeonggyu Huh

arxiv:2605.20996 v1 · 2026-05-20 · cs.LG · 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{BP5CKIYNCLWKMOIHSGLRIQG35R}

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	2026-05-21T01:05:31.632680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bfa25230d12eca6390791971440dbec60872a1a577b76d2431d0283d1a57efb

Aliases

arxiv: 2605.20996 · arxiv_version: 2605.20996v1 · doi: 10.48550/arxiv.2605.20996 · pith_short_12: BP5CKIYNCLWK · pith_short_16: BP5CKIYNCLWKMOIH · pith_short_8: BP5CKIYN

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/BP5CKIYNCLWKMOIHSGLRIQG35R \
  | 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: 0bfa25230d12eca6390791971440dbec60872a1a577b76d2431d0283d1a57efb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21084af3584cd31e7f813b9e9044d4d25f059c0603d2d2e66c80cf88a7942446",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-20T10:36:13Z",
    "title_canon_sha256": "ef26d21e62999c15db3f882651c74de902cf830d45b8fe8cec4940ef3a5fce9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20996",
    "kind": "arxiv",
    "version": 1
  }
}