Pith Number

pith:Y5WFYWS7

pith:2017:Y5WFYWS7RG7PCDIJYTRTKYGP7P

not attested not anchored not stored refs pending

Null controllability of a cascade model in population dynamics

Bedr'Eddine Ainseba, Lahcen Maniar, Younes Echarroudi

arxiv:1701.04083 v1 · 2017-01-15 · 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{Y5WFYWS7RG7PCDIJYTRTKYGP7P}

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	2026-05-18T00:52:47.895960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c76c5c5a5f89bef10d09c4e33560cffbe74527f94ed79cdce9056403887bb120

Aliases

arxiv: 1701.04083 · arxiv_version: 1701.04083v1 · doi: 10.48550/arxiv.1701.04083 · pith_short_12: Y5WFYWS7RG7P · pith_short_16: Y5WFYWS7RG7PCDIJ · pith_short_8: Y5WFYWS7

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/Y5WFYWS7RG7PCDIJYTRTKYGP7P \
  | 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: c76c5c5a5f89bef10d09c4e33560cffbe74527f94ed79cdce9056403887bb120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e396dd5989c01fe7e7514208c29c5b60bef114983233659dc2dc3005884ed473",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-01-15T17:36:05Z",
    "title_canon_sha256": "5f90a45cbf4ca2b42081d5b8bc7ae81c7adf671e87e8755d82c08c7b913d411e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04083",
    "kind": "arxiv",
    "version": 1
  }
}