Pith Number

pith:2VGA7F4U

pith:2016:2VGA7F4UALBULA2TMEKNEET27Y

not attested not anchored not stored refs pending

Robust ergodicity and tracking in antithetic integral control of stochastic biochemical reaction networks

Corentin Briat, Mustafa Khammash

arxiv:1607.07080 v2 · 2016-07-24 · math.OC · cs.SY · q-bio.MN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VGA7F4UALBULA2TMEKNEET27Y}

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	2026-05-17T23:59:54.063232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d54c0f979402c34583536114d2127afe1f2a82c14900864c68191fdb0c8d10e8

Aliases

arxiv: 1607.07080 · arxiv_version: 1607.07080v2 · doi: 10.48550/arxiv.1607.07080 · pith_short_12: 2VGA7F4UALBU · pith_short_16: 2VGA7F4UALBULA2T · pith_short_8: 2VGA7F4U

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/2VGA7F4UALBULA2TMEKNEET27Y \
  | 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: d54c0f979402c34583536114d2127afe1f2a82c14900864c68191fdb0c8d10e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec830220caf6158c4c29de1b5e91884a8567b660e086dfa4972a2388dbe0e8cf",
    "cross_cats_sorted": [
      "cs.SY",
      "q-bio.MN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-24T19:09:14Z",
    "title_canon_sha256": "08a22a3b1d00a975d9a058939738af0c6ef456914f7c1a9a1a9d05f8235a8378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07080",
    "kind": "arxiv",
    "version": 2
  }
}