Pith Number

pith:MGHGUKWX

pith:2020:MGHGUKWXKM333BC53UGMWRKKHU

not attested not anchored not stored refs pending

Anisotropic elliptic equations with gradient-dependent lower order terms and $L^1$ data

Barbara Brandolini, Florica C. C\^irstea

arxiv:2001.02754 v3 · 2020-01-08 · 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{MGHGUKWXKM333BC53UGMWRKKHU}

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	2026-07-05T04:04:34.652384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

618e6a2ad75337bd845ddd0ccb454a3d16b9139eb7b37f396ebbcffbfbd5a55e

Aliases

arxiv: 2001.02754 · arxiv_version: 2001.02754v3 · doi: 10.48550/arxiv.2001.02754 · pith_short_12: MGHGUKWXKM33 · pith_short_16: MGHGUKWXKM333BC5 · pith_short_8: MGHGUKWX

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/MGHGUKWXKM333BC53UGMWRKKHU \
  | 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: 618e6a2ad75337bd845ddd0ccb454a3d16b9139eb7b37f396ebbcffbfbd5a55e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "918ed16a9f9fb22ee252d54548aba09006516edaebeb38aa901bb278483db728",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-01-08T21:49:56Z",
    "title_canon_sha256": "c1a90c9f4ee5ab7010e63bc822cebac8e3254460e883f207c54fa2b23ecf4ffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.02754",
    "kind": "arxiv",
    "version": 3
  }
}