Pith Number

pith:AAEVVVNB

pith:2021:AAEVVVNBQVVCREXR5HHJP74B6C

not attested not anchored not stored refs pending

Bilinear control of a degenerate hyperbolic equation

Cristina Urbani, Patrick Martinez, Piermarco Cannarsa

arxiv:2112.00636 v1 · 2021-12-01 · math.AP · 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{AAEVVVNBQVVCREXR5HHJP74B6C}

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	2026-07-05T03:36:49.084682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00095ad5a1856a2892f1e9ce97ff81f0b0546d539865e4ea5d22cdb5beb32289

Aliases

arxiv: 2112.00636 · arxiv_version: 2112.00636v1 · doi: 10.48550/arxiv.2112.00636 · pith_short_12: AAEVVVNBQVVC · pith_short_16: AAEVVVNBQVVCREXR · pith_short_8: AAEVVVNB

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/AAEVVVNBQVVCREXR5HHJP74B6C \
  | 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: 00095ad5a1856a2892f1e9ce97ff81f0b0546d539865e4ea5d22cdb5beb32289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af76ca6bc768734763bc67a16d92c9cfd9319d1d1a633ff0331e285f15e0a5a0",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-12-01T16:40:12Z",
    "title_canon_sha256": "cc9682aa7e8e142cd5508ca7377a2fe6fdf5941c2200fb525af7d70823b77b28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.00636",
    "kind": "arxiv",
    "version": 1
  }
}