Pith Number

pith:BPIA3JKX

pith:2016:BPIA3JKXIHTXUJ4V4XJJKH4TGR

not attested not anchored not stored refs pending

Stabilization Control for Linear Continuous-time Mean-field Systems

Huanshui Zhang, Qingyuan Qi

arxiv:1608.06475 v2 · 2016-08-23 · 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{BPIA3JKXIHTXUJ4V4XJJKH4TGR}

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	2026-05-18T00:43:43.528616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bd00da55741e77a2795e5d2951f9334572ed80d88be3e793e4c53fb1ee9cb8d

Aliases

arxiv: 1608.06475 · arxiv_version: 1608.06475v2 · doi: 10.48550/arxiv.1608.06475 · pith_short_12: BPIA3JKXIHTX · pith_short_16: BPIA3JKXIHTXUJ4V · pith_short_8: BPIA3JKX

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/BPIA3JKXIHTXUJ4V4XJJKH4TGR \
  | 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: 0bd00da55741e77a2795e5d2951f9334572ed80d88be3e793e4c53fb1ee9cb8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77cffd6ea98262a92a96678793e2a4de2052d0f27fd2edb842f789197d54db72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-08-23T11:57:05Z",
    "title_canon_sha256": "e9c67d997d0656467db765eedb12ea4e24fbf1767ea63d5584e5614abea0bd31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06475",
    "kind": "arxiv",
    "version": 2
  }
}