Pith Number

pith:2YOWZIIG

pith:2018:2YOWZIIGGIZUBUEKFPQ73RVSRF

not attested not anchored not stored refs pending

Analytic solutions of nonlinear elliptic equations on rectangular tori

Yunfeng Shi

arxiv:1812.04836 v4 · 2018-12-12 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YOWZIIGGIZUBUEKFPQ73RVSRF}

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	2026-05-17T23:57:56.762094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d61d6ca106323340d08a2be1fdc6b2894dac8fcccc41632cccc1b1061fdae787

Aliases

arxiv: 1812.04836 · arxiv_version: 1812.04836v4 · doi: 10.48550/arxiv.1812.04836 · pith_short_12: 2YOWZIIGGIZU · pith_short_16: 2YOWZIIGGIZUBUEK · pith_short_8: 2YOWZIIG

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/2YOWZIIGGIZUBUEKFPQ73RVSRF \
  | 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: d61d6ca106323340d08a2be1fdc6b2894dac8fcccc41632cccc1b1061fdae787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6d6cb3b708b8c475d0a69072712fbc11c2738b9ba311d98e4897ccf8c47f09f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-12T07:48:32Z",
    "title_canon_sha256": "d0cd1cf50d6b52dd21c2b524ce8c7df39c76caa67640be4f5dece844bd203f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04836",
    "kind": "arxiv",
    "version": 4
  }
}