Pith Number

pith:4O6BNZKW

pith:2015:4O6BNZKWRZGAWF3RLPJ35T6PZF

not attested not anchored not stored refs pending

Mixed Eigenvalues of {\LARGE $\pmb p$\,}-Laplacian

Ling-Di Wang, Mu-Fa chen, Yu-Hui Zhang

arxiv:1501.03228 v1 · 2015-01-14 · math.SP · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4O6BNZKWRZGAWF3RLPJ35T6PZF}

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	2026-05-18T02:29:24.446502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3bc16e5568e4c0b17715bd3becfcfc95186ff2f42e5c7defa91bac350d2e279

Aliases

arxiv: 1501.03228 · arxiv_version: 1501.03228v1 · doi: 10.48550/arxiv.1501.03228 · pith_short_12: 4O6BNZKWRZGA · pith_short_16: 4O6BNZKWRZGAWF3R · pith_short_8: 4O6BNZKW

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/4O6BNZKWRZGAWF3RLPJ35T6PZF \
  | 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: e3bc16e5568e4c0b17715bd3becfcfc95186ff2f42e5c7defa91bac350d2e279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c523f92c156bcdc27a4b67284f9a0ca4e67ac3dc94558f1de5b8b116b193ca",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-01-14T01:17:32Z",
    "title_canon_sha256": "3e7579f4f7a7271ff812a682e07c2fa80c669fb48ccb531937a022363e0e5915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03228",
    "kind": "arxiv",
    "version": 1
  }
}