Pith Number

pith:CT2NITFK

pith:2011:CT2NITFKPMHUWCAVGTK6OFTTZ5

not attested not anchored not stored refs pending

Carleman estimates for the Zaremba Boundary Condition and Stabilization of Waves

Luc Robbiano, Pierre Cornilleau

arxiv:1110.5164 v3 · 2011-10-24 · 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{CT2NITFKPMHUWCAVGTK6OFTTZ5}

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	2026-05-18T01:17:53.654866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14f4d44caa7b0f4b081534d5e71673cf7ebb81521bba0cd56aef21dcc4af82d6

Aliases

arxiv: 1110.5164 · arxiv_version: 1110.5164v3 · doi: 10.48550/arxiv.1110.5164 · pith_short_12: CT2NITFKPMHU · pith_short_16: CT2NITFKPMHUWCAV · pith_short_8: CT2NITFK

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/CT2NITFKPMHUWCAVGTK6OFTTZ5 \
  | 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: 14f4d44caa7b0f4b081534d5e71673cf7ebb81521bba0cd56aef21dcc4af82d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11c944e7429ecfb020a11a651180437d0ea511bd2f0d671c0a549c89bb60c6f3",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-24T08:49:16Z",
    "title_canon_sha256": "5dcd48c1c840fff471f4801b18e234dc75ede02dd049f4da59192049ef5a5d46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5164",
    "kind": "arxiv",
    "version": 3
  }
}