Pith Number

pith:7QMC3CZD

pith:2020:7QMC3CZDN3TW7AXPNB62XZ5YP2

not attested not anchored not stored refs pending

Singular anisotropic elliptic equations with gradient-dependent lower order terms

Barbara Brandolini, Florica C. C\^irstea

arxiv:2001.02887 v2 · 2020-01-09 · 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{7QMC3CZDN3TW7AXPNB62XZ5YP2}

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	2026-07-05T04:54:11.517093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc182d8b236ee76f82ef687dabe7b87e926bcf98aac45ca7cf771a15f0433d12

Aliases

arxiv: 2001.02887 · arxiv_version: 2001.02887v2 · doi: 10.48550/arxiv.2001.02887 · pith_short_12: 7QMC3CZDN3TW · pith_short_16: 7QMC3CZDN3TW7AXP · pith_short_8: 7QMC3CZD

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/7QMC3CZDN3TW7AXPNB62XZ5YP2 \
  | 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: fc182d8b236ee76f82ef687dabe7b87e926bcf98aac45ca7cf771a15f0433d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31e83bc20b3ba2f7bc0f2f1cf1f51eecc40874f42988e4230e890bb7ba5e22bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-01-09T08:46:18Z",
    "title_canon_sha256": "b5030299201f3658ed8107a36253c1e7da862a616b2a4eda15f2e911cde6cc88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.02887",
    "kind": "arxiv",
    "version": 2
  }
}