Pith Number

pith:4BVAG4O5

pith:2013:4BVAG4O56HNYSJ2NP6H6QXLN7L

not attested not anchored not stored refs pending

Generalized Harnack's inequality for nonhomogeneous elliptic equations

Vesa Julin

arxiv:1311.3619 v2 · 2013-11-14 · 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{4BVAG4O56HNYSJ2NP6H6QXLN7L}

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	2026-05-17T23:42:14.605755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e06a0371ddf1db89274d7f8fe85d6dfaeb467e5f6194edf032dea9a451dcaabc

Aliases

arxiv: 1311.3619 · arxiv_version: 1311.3619v2 · doi: 10.48550/arxiv.1311.3619 · pith_short_12: 4BVAG4O56HNY · pith_short_16: 4BVAG4O56HNYSJ2N · pith_short_8: 4BVAG4O5

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/4BVAG4O56HNYSJ2NP6H6QXLN7L \
  | 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: e06a0371ddf1db89274d7f8fe85d6dfaeb467e5f6194edf032dea9a451dcaabc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13880f6e0cce93959b1b6948668bd61827bf10e31594f06a78704e84a7c79aa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-14T19:30:07Z",
    "title_canon_sha256": "04e45a3bfdf960f42a2248362ce2bfbd6fb6026c503de159800ba23141ace357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3619",
    "kind": "arxiv",
    "version": 2
  }
}