Pith Number

pith:KC7ZRRDH

pith:2013:KC7ZRRDHZZHLAVYLE6OBOQ5B3B

not attested not anchored not stored refs pending

Qualitative properties of positive solutions of quasilinear equations with Hardy terms

Yutian Lei

arxiv:1305.1003 v1 · 2013-05-05 · 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{KC7ZRRDHZZHLAVYLE6OBOQ5B3B}

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	2026-05-18T03:26:31.142068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50bf98c467ce4eb0570b279c1743a1d8478bb7b0f39b1f35d0d92b640258d10b

Aliases

arxiv: 1305.1003 · arxiv_version: 1305.1003v1 · doi: 10.48550/arxiv.1305.1003 · pith_short_12: KC7ZRRDHZZHL · pith_short_16: KC7ZRRDHZZHLAVYL · pith_short_8: KC7ZRRDH

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/KC7ZRRDHZZHLAVYLE6OBOQ5B3B \
  | 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: 50bf98c467ce4eb0570b279c1743a1d8478bb7b0f39b1f35d0d92b640258d10b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2fd195ae00efef863234a620da4be7524bf0225c0c0f7e1e52c69050b718fa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-05T10:35:53Z",
    "title_canon_sha256": "1a49176f994d9371e89e515e30fcf5223c193bf71db2efb30083560e3a193f1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1003",
    "kind": "arxiv",
    "version": 1
  }
}