Pith Number

pith:LGTUAXN3

pith:2016:LGTUAXN3ZECNJNHDG7B67FRSEL

not attested not anchored not stored refs pending

Local null controllability for degenerate parabolic equations with nonlocal term

Juan L\'imaco, Luiz Viana, Reginaldo Demarque

arxiv:1612.08774 v2 · 2016-12-28 · 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{LGTUAXN3ZECNJNHDG7B67FRSEL}

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	2026-05-18T00:18:04.214610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59a7405dbbc904d4b4e337c3ef963222e921d3168ebcaa4eae3944056db2bad8

Aliases

arxiv: 1612.08774 · arxiv_version: 1612.08774v2 · doi: 10.48550/arxiv.1612.08774 · pith_short_12: LGTUAXN3ZECN · pith_short_16: LGTUAXN3ZECNJNHD · pith_short_8: LGTUAXN3

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/LGTUAXN3ZECNJNHDG7B67FRSEL \
  | 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: 59a7405dbbc904d4b4e337c3ef963222e921d3168ebcaa4eae3944056db2bad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e293ce72e0def17f7d1146d215ec07dfaedeacb31f5dc3a31948b68368578c25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-28T00:03:52Z",
    "title_canon_sha256": "3b4ba163a13b92c9922c1ba6074554e9b83f9bde6015c69f2f4301f48ad4c59c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08774",
    "kind": "arxiv",
    "version": 2
  }
}