Pith Number

pith:BGNOB42E

pith:2012:BGNOB42ESFIHWQK5FULL2UTH6M

not attested not anchored not stored refs pending

On $\big(p_{1}(x), p_{2}(x)\big)$-Laplace Equations

Duchao Liu, Jinghua Yao, Xiaoyan Wang

arxiv:1205.1854 v1 · 2012-05-09 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGNOB42ESFIHWQK5FULL2UTH6M}

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	2026-05-18T03:55:58.515394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

099ae0f34491507b415d2d16bd5267f321c2b588fdfcb5621c39cba4c011b757

Aliases

arxiv: 1205.1854 · arxiv_version: 1205.1854v1 · doi: 10.48550/arxiv.1205.1854 · pith_short_12: BGNOB42ESFIH · pith_short_16: BGNOB42ESFIHWQK5 · pith_short_8: BGNOB42E

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/BGNOB42ESFIHWQK5FULL2UTH6M \
  | 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: 099ae0f34491507b415d2d16bd5267f321c2b588fdfcb5621c39cba4c011b757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f688c6e88b846e257829871f006417194e54685c7c9a5d4d5679f2cb0d9a948f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-09T01:22:20Z",
    "title_canon_sha256": "639aaff5b6b025a8cd1bfe728a0c4b47ba84773e221170391bb5b8fe093e088d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1854",
    "kind": "arxiv",
    "version": 1
  }
}