Pith Number

pith:7SULIVT7

pith:2019:7SULIVT7FLUOQ6PIXQA5OEWAYY

not attested not anchored not stored refs pending

Controllability for a population equation with interior degeneracy

Genni Fragnelli

arxiv:1902.02655 v2 · 2019-02-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SULIVT7FLUOQ6PIXQA5OEWAYY}

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	2026-05-17T23:48:39.501684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fca8b4567f2ae8e879e8bc01d712c0c63992cd175986c136e1132da5260f914a

Aliases

arxiv: 1902.02655 · arxiv_version: 1902.02655v2 · doi: 10.48550/arxiv.1902.02655 · pith_short_12: 7SULIVT7FLUO · pith_short_16: 7SULIVT7FLUOQ6PI · pith_short_8: 7SULIVT7

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/7SULIVT7FLUOQ6PIXQA5OEWAYY \
  | 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: fca8b4567f2ae8e879e8bc01d712c0c63992cd175986c136e1132da5260f914a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3156a0818e06c94e1ec645b99567aa8f1c6040887b666f0c02c1d0ff0a0c7ca7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-06T16:03:28Z",
    "title_canon_sha256": "2f70eca31d684caa18bec64caf1d2b473bac0554ee40a864bfbe696e1484e734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02655",
    "kind": "arxiv",
    "version": 2
  }
}