Pith Number

pith:EXA24YML

pith:2013:EXA24YMLI64MY4TD3QNDGX353N

not attested not anchored not stored refs pending

Harnack estimates for degenerate parabolic equations modeled on the subelliptic p-Laplacian

Benny Avelin, Giovanna Citti, Kaj Nystrom, Luca Capogna

arxiv:1306.5650 v1 · 2013-06-24 · math.AP · math.DG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXA24YMLI64MY4TD3QNDGX353N}

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	2026-05-18T03:20:07.353859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c1ae618b47b8cc7263dc1a335f7ddb5ba7505a192654314c68853c9fab9a6b

Aliases

arxiv: 1306.5650 · arxiv_version: 1306.5650v1 · doi: 10.48550/arxiv.1306.5650 · pith_short_12: EXA24YMLI64M · pith_short_16: EXA24YMLI64MY4TD · pith_short_8: EXA24YML

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/EXA24YMLI64MY4TD3QNDGX353N \
  | 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: 25c1ae618b47b8cc7263dc1a335f7ddb5ba7505a192654314c68853c9fab9a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a78ea93df83356e2c31a9eeb0f4dd09014893da9d796e6f1027d823d3eae66ba",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-24T15:11:03Z",
    "title_canon_sha256": "cef416d353b4495587a5052b8ecf4e23450e14547a72b7d0b3f4288c12474288"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5650",
    "kind": "arxiv",
    "version": 1
  }
}