Pith Number

pith:EU6OYITI

pith:2011:EU6OYITIQ6OOAPM4XGU3VXAFB6

not attested not anchored not stored refs pending

Unique continuation and approximate controllability for a degenerate parabolic equation

Jacques Tort, Masahiro Yamamoto, Piermarco Cannarsa

arxiv:1107.3246 v3 · 2011-07-16 · math.AP · cs.SY · 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{EU6OYITIQ6OOAPM4XGU3VXAFB6}

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	2026-05-18T04:11:51.292387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

253cec2268879ce03d9cb9a9badc050f8d0bf0b7fe5028c029a130f498557ed2

Aliases

arxiv: 1107.3246 · arxiv_version: 1107.3246v3 · doi: 10.48550/arxiv.1107.3246 · pith_short_12: EU6OYITIQ6OO · pith_short_16: EU6OYITIQ6OOAPM4 · pith_short_8: EU6OYITI

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/EU6OYITIQ6OOAPM4XGU3VXAFB6 \
  | 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: 253cec2268879ce03d9cb9a9badc050f8d0bf0b7fe5028c029a130f498557ed2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dfa987d1352e5543e8772a06cb0355311c795bbfe388f6bf34dcbc267d6bf51",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-16T19:07:10Z",
    "title_canon_sha256": "139e728921ea86c8cd56c251ae9a5f5305431a72a2091ad5347cc1a214acb5bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3246",
    "kind": "arxiv",
    "version": 3
  }
}