Pith Number

pith:JTIKLVVG

pith:2016:JTIKLVVGFZ3QSIBNNXZ7NKEIED

not attested not anchored not stored refs pending

Mean field control hierarchy

Dante Kalise, Giacomo Albi, Massimo Fornasier, Young-Pil Choi

arxiv:1608.01728 v1 · 2016-08-05 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTIKLVVGFZ3QSIBNNXZ7NKEIED}

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	2026-05-18T01:09:44.766691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cd0a5d6a62e7709202d6df3f6a88820c0b45830055626aeac328b6a2a8737c2

Aliases

arxiv: 1608.01728 · arxiv_version: 1608.01728v1 · doi: 10.48550/arxiv.1608.01728 · pith_short_12: JTIKLVVGFZ3Q · pith_short_16: JTIKLVVGFZ3QSIBN · pith_short_8: JTIKLVVG

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/JTIKLVVGFZ3QSIBNNXZ7NKEIED \
  | 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: 4cd0a5d6a62e7709202d6df3f6a88820c0b45830055626aeac328b6a2a8737c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05afe2854088429da619b8153dc50efd22b5d6cfb585c93d0a72559b5ec7d36e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-08-05T00:25:09Z",
    "title_canon_sha256": "a90210bbdc7483133cf7e96096485a4c11df5aad5e09df9944076810971e787c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01728",
    "kind": "arxiv",
    "version": 1
  }
}