Pith Number

pith:GRFEURKP

pith:2020:GRFEURKPVOYVT7QKY3CKMBQNTX

not attested not anchored not stored refs pending

A Certainty Equivalence Result in Team-Optimal Control of Mean-Field Coupled Markov Chains

Amir G. Aghdam, Jalal Arabneydi

arxiv:2012.01020 v1 · 2020-12-02 · 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{GRFEURKPVOYVT7QKY3CKMBQNTX}

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	2026-07-05T01:56:34.740020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

344a4a454fabb159fe0ac6c4a6060d9dd71efa9afb2fc7aaab4bb7cb49ea93a6

Aliases

arxiv: 2012.01020 · arxiv_version: 2012.01020v1 · doi: 10.48550/arxiv.2012.01020 · pith_short_12: GRFEURKPVOYV · pith_short_16: GRFEURKPVOYVT7QK · pith_short_8: GRFEURKP

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/GRFEURKPVOYVT7QKY3CKMBQNTX \
  | 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: 344a4a454fabb159fe0ac6c4a6060d9dd71efa9afb2fc7aaab4bb7cb49ea93a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cdf62dde8168c88a71af94f1c8ff99ea0499bd049dea55e4e52b0d70bdc431e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-12-02T08:16:36Z",
    "title_canon_sha256": "94768a3eed85c3f437ccc5b18f8b0620cb72818fa67bdf1434ac3d19244df7a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.01020",
    "kind": "arxiv",
    "version": 1
  }
}