Pith Number

pith:CKAGM2UN

pith:2026:CKAGM2UNF4YPF6XCXVY4HCBQ7I

not attested not anchored not stored refs pending

Bidirectional SDDP with dimension-free complexity for solving strongly convex stochastic dynamic programming equations

Pablo Barros, Vincent Guigues

arxiv:2606.10161 v1 · 2026-06-08 · 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{CKAGM2UNF4YPF6XCXVY4HCBQ7I}

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	2026-06-10T01:08:57.412765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1280666a8d2f30f2fae2bd71c38830fa3857a5c7e6ba3f8a05a6fc1d477aac44

Aliases

arxiv: 2606.10161 · arxiv_version: 2606.10161v1 · doi: 10.48550/arxiv.2606.10161 · pith_short_12: CKAGM2UNF4YP · pith_short_16: CKAGM2UNF4YPF6XC · pith_short_8: CKAGM2UN

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/CKAGM2UNF4YPF6XCXVY4HCBQ7I \
  | 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: 1280666a8d2f30f2fae2bd71c38830fa3857a5c7e6ba3f8a05a6fc1d477aac44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38e6f6a3219d42c5ee2cb9de106d04206acc21f8a09a1dd38c4e374b6a9ca542",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-08T20:41:41Z",
    "title_canon_sha256": "bc1b3fd8a4b491f2a56122e086742afba01bf103bd97b6752d78c0cfafd81d80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10161",
    "kind": "arxiv",
    "version": 1
  }
}