Pith Number

pith:QZUTMBWS

pith:2018:QZUTMBWS7FFYAI2CHTZDDVZJN6

not attested not anchored not stored refs pending

Variational inequalities for bilinear averages

Honghai Liu

arxiv:1806.00902 v1 · 2018-06-04 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZUTMBWS7FFYAI2CHTZDDVZJN6}

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	2026-05-18T00:14:18.072836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86693606d2f94b8023423cf231d7296fab59e687707beae15fbf5469166d8296

Aliases

arxiv: 1806.00902 · arxiv_version: 1806.00902v1 · doi: 10.48550/arxiv.1806.00902 · pith_short_12: QZUTMBWS7FFY · pith_short_16: QZUTMBWS7FFYAI2C · pith_short_8: QZUTMBWS

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/QZUTMBWS7FFYAI2CHTZDDVZJN6 \
  | 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: 86693606d2f94b8023423cf231d7296fab59e687707beae15fbf5469166d8296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b6e54d54b603aa5884e3a111d1a8354fcab8db7a5dfb0cb9ef679411677020",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-06-04T00:19:10Z",
    "title_canon_sha256": "a58f80e3038fe5d91e7a088a7dc357d461e4a43560e01a89a5109e351ae8c340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00902",
    "kind": "arxiv",
    "version": 1
  }
}