Pith Number

pith:LGNCUKSG

pith:2019:LGNCUKSGELMHO552RUI53H4SAN

not attested not anchored not stored refs pending

Controllability for a degenerate cascade system

Genni Fragnelli, Idriss Boutaayamou

arxiv:1907.11160 v1 · 2019-07-18 · 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{LGNCUKSGELMHO552RUI53H4SAN}

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	2026-05-17T23:39:33.112566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

599a2a2a4622d87777ba8d11dd9f9203564a3fcbc7f1054d075e59c34ef39f53

Aliases

arxiv: 1907.11160 · arxiv_version: 1907.11160v1 · doi: 10.48550/arxiv.1907.11160 · pith_short_12: LGNCUKSGELMH · pith_short_16: LGNCUKSGELMHO552 · pith_short_8: LGNCUKSG

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/LGNCUKSGELMHO552RUI53H4SAN \
  | 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: 599a2a2a4622d87777ba8d11dd9f9203564a3fcbc7f1054d075e59c34ef39f53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "669a198be84fd82ba521d876d24147ba6e9e99b4143a381ec02393739c69829f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-18T17:35:29Z",
    "title_canon_sha256": "5afb9dfe4bcb8e8df832a22c4c90232c870bab0a431e61cd8e8d9d37d0cef99e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11160",
    "kind": "arxiv",
    "version": 1
  }
}