Pith Number

pith:VDWC2EWC

pith:2015:VDWC2EWCGTKKERJKA2P4M2UXKJ

not attested not anchored not stored refs pending

On the hierarchical optimal control of a chain of distributed systems

Eduardo L. Pasiliao, Getachew K. Befekadu

arxiv:1508.02259 v2 · 2015-08-10 · 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{VDWC2EWCGTKKERJKA2P4M2UXKJ}

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	2026-05-18T00:27:03.146477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ec2d12c234d4a2452a069fc66a97526a882ecd5a2e57457910a60ebc526a26

Aliases

arxiv: 1508.02259 · arxiv_version: 1508.02259v2 · doi: 10.48550/arxiv.1508.02259 · pith_short_12: VDWC2EWCGTKK · pith_short_16: VDWC2EWCGTKKERJK · pith_short_8: VDWC2EWC

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/VDWC2EWCGTKKERJKA2P4M2UXKJ \
  | 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: a8ec2d12c234d4a2452a069fc66a97526a882ecd5a2e57457910a60ebc526a26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46fcc34d20a419b7fd0f02d7257b1626d703b845e351a8fc2e028bea5927e22f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-08-10T14:15:28Z",
    "title_canon_sha256": "8d6d1aab320e32da5e00125c8f36a88c05c6ee40a69b2409c35e676d6b88d351"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02259",
    "kind": "arxiv",
    "version": 2
  }
}