Pith Number

pith:DVGUE5GY

pith:2015:DVGUE5GYUGGRA4TSNKMXSGZO6U

not attested not anchored not stored refs pending

Carleman estimates, observability inequalities and null controllability for interior degenerate non smooth parabolic equations

Dimitri Mugnai, Genni Fragnelli

arxiv:1508.04014 v1 · 2015-08-17 · 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{DVGUE5GYUGGRA4TSNKMXSGZO6U}

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	2026-05-18T01:35:13.021490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d4d4274d8a18d1072726a99791b2ef510d96d1ebfc41941d31bb3b9bf8ce2d0

Aliases

arxiv: 1508.04014 · arxiv_version: 1508.04014v1 · doi: 10.48550/arxiv.1508.04014 · pith_short_12: DVGUE5GYUGGR · pith_short_16: DVGUE5GYUGGRA4TS · pith_short_8: DVGUE5GY

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/DVGUE5GYUGGRA4TSNKMXSGZO6U \
  | 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: 1d4d4274d8a18d1072726a99791b2ef510d96d1ebfc41941d31bb3b9bf8ce2d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1afc3cccd67d4cabc385a252bd2fd3fd0204ba30fcb227c7701361805bdf48be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-17T13:16:09Z",
    "title_canon_sha256": "775c0857743ab1f606902a7b3753bbd8b24ae2dc59fcef15dd8fe298fbfc5a98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04014",
    "kind": "arxiv",
    "version": 1
  }
}