Pith Number

pith:KHE2BDR2

pith:2018:KHE2BDR27QGTIIZFCFVBJW2PH6

not attested not anchored not stored refs pending

Some new aspects of perturbation theory of positive solutions of second-order linear elliptic equations

Debdip Ganguly, Yehuda Pinchover

arxiv:1812.03450 v1 · 2018-12-09 · 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{KHE2BDR27QGTIIZFCFVBJW2PH6}

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	2026-05-17T23:58:46.233351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51c9a08e3afc0d342325116a14db4f3f8c329f8d2a76c5f66d0b38a87e9e63ff

Aliases

arxiv: 1812.03450 · arxiv_version: 1812.03450v1 · doi: 10.48550/arxiv.1812.03450 · pith_short_12: KHE2BDR27QGT · pith_short_16: KHE2BDR27QGTIIZF · pith_short_8: KHE2BDR2

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/KHE2BDR27QGTIIZFCFVBJW2PH6 \
  | 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: 51c9a08e3afc0d342325116a14db4f3f8c329f8d2a76c5f66d0b38a87e9e63ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd17bf107cd4cad505dce52d384ddb50502d6f98af963b35cad3c2b8981101dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-09T09:17:36Z",
    "title_canon_sha256": "bd77e0e997e65f795bd954ff5a783fe445677263c4a333a34381ffbeaad906d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03450",
    "kind": "arxiv",
    "version": 1
  }
}