Pith Number

pith:VIQSI5MX

pith:2015:VIQSI5MXW4CYPWDBL5KSSVRUDP

not attested not anchored not stored refs pending

Control and stabilization of degenerate wave equations

Fatiha Alabau-Boussouira, G\"unter Leugering, Piermarco Cannarsa

arxiv:1505.05720 v1 · 2015-05-21 · 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{VIQSI5MXW4CYPWDBL5KSSVRUDP}

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	2026-05-18T00:38:11.844830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa21247597b70587d8615f552956341bd557e51b8a18ba782accf011dee13890

Aliases

arxiv: 1505.05720 · arxiv_version: 1505.05720v1 · doi: 10.48550/arxiv.1505.05720 · pith_short_12: VIQSI5MXW4CY · pith_short_16: VIQSI5MXW4CYPWDB · pith_short_8: VIQSI5MX

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/VIQSI5MXW4CYPWDBL5KSSVRUDP \
  | 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: aa21247597b70587d8615f552956341bd557e51b8a18ba782accf011dee13890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a3f419310ac24c957e6d6e3b9d80d30d8126ac5ef5b3237d8870a0146c5867f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-21T13:14:28Z",
    "title_canon_sha256": "f320a8b121ab15a301e385fe923630b126d0a23b34dd0fa0720b969765750c9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05720",
    "kind": "arxiv",
    "version": 1
  }
}