Pith Number

pith:ZFCSP3PN

pith:2025:ZFCSP3PNDKFE7P5ELLNHNY5AR3

not attested not anchored not stored refs pending

On Exact Solutions to the Linear Bellman Equation

David Ohlin, Murat Arcak, Richard Pates

arxiv:2506.15527 v1 · 2025-06-18 · math.OC · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFCSP3PNDKFE7P5ELLNHNY5AR3}

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	2026-07-05T11:23:45.553248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c94527eded1a8a4fbfa45ada76e3a08ec39fbf8ccb880db88837215432faffa3

Aliases

arxiv: 2506.15527 · arxiv_version: 2506.15527v1 · doi: 10.48550/arxiv.2506.15527 · pith_short_12: ZFCSP3PNDKFE · pith_short_16: ZFCSP3PNDKFE7P5E · pith_short_8: ZFCSP3PN

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/ZFCSP3PNDKFE7P5ELLNHNY5AR3 \
  | 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: c94527eded1a8a4fbfa45ada76e3a08ec39fbf8ccb880db88837215432faffa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac52a0bbaf159b1868dc302cc980774ab3cec9edee78095ad0933742341310a8",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-18T15:00:00Z",
    "title_canon_sha256": "f415c2eb609e95b2cd9047f8da1b0fcb44b1a4b1cafda2e682918b635f7485af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15527",
    "kind": "arxiv",
    "version": 1
  }
}