Pith Number

pith:UKOFTKB2

pith:2012:UKOFTKB2BNQIASM75HDJAYVXQ7

not attested not anchored not stored refs pending

Carleman estimates and observability inequalities for parabolic equations with interior degeneracy

Dimitri Mugnai, Genni Fragnelli

arxiv:1211.6151 v2 · 2012-11-26 · 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{UKOFTKB2BNQIASM75HDJAYVXQ7}

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	2026-05-18T02:59:48.255164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a29c59a83a0b6080499fe9c69062b787e202a662c1bde506ffb4bded35f38ef2

Aliases

arxiv: 1211.6151 · arxiv_version: 1211.6151v2 · doi: 10.48550/arxiv.1211.6151 · pith_short_12: UKOFTKB2BNQI · pith_short_16: UKOFTKB2BNQIASM7 · pith_short_8: UKOFTKB2

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/UKOFTKB2BNQIASM75HDJAYVXQ7 \
  | 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: a29c59a83a0b6080499fe9c69062b787e202a662c1bde506ffb4bded35f38ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5d0dede6e76e106f0206a49b1727b759a8adcee997ab1b3322160709e95fdae",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-26T22:30:16Z",
    "title_canon_sha256": "592a534b2b2039c0594ffe16cd56d2814de7da8d9ea04db0e7df7f6579e08fe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6151",
    "kind": "arxiv",
    "version": 2
  }
}