Pith Number

pith:2M7VM6D6

pith:2024:2M7VM6D62UHIBEJA35LOXV5NXL

not attested not anchored not stored refs pending

Mean field game problem for the optimal control of neuronal spiking activity

Dongfang Yang, Lijun Bo, Shihua Wang

arxiv:2412.12682 v1 · 2024-12-17 · 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{2M7VM6D62UHIBEJA35LOXV5NXL}

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	2026-07-05T09:50:19.070948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d33f56787ed50e809120df56ebd7adbac77cef66b14b51fad518bfe402d0e9f4

Aliases

arxiv: 2412.12682 · arxiv_version: 2412.12682v1 · doi: 10.48550/arxiv.2412.12682 · pith_short_12: 2M7VM6D62UHI · pith_short_16: 2M7VM6D62UHIBEJA · pith_short_8: 2M7VM6D6

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/2M7VM6D62UHIBEJA35LOXV5NXL \
  | 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: d33f56787ed50e809120df56ebd7adbac77cef66b14b51fad518bfe402d0e9f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc4db693b21041da3e27a7e04bb7ed168c4f404b2ffa8eea462b37e2b821c7c4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-17T08:56:20Z",
    "title_canon_sha256": "da0d3768b3982c8bc6dc82465890b6df9327017a2b449c3c6e149c27c40bfc85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12682",
    "kind": "arxiv",
    "version": 1
  }
}