Pith Number

pith:MH4BDBW6

pith:2018:MH4BDBW6VPASYF4R2RRQPBAHVN

not attested not anchored not stored refs pending

Embeddings of weighted Sobolev spaces and a weighted fourth order elliptic equation

Fangshu Wan, Liping Wang, Zongming Guo

arxiv:1803.11298 v1 · 2018-03-30 · 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{MH4BDBW6VPASYF4R2RRQPBAHVN}

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	2026-05-18T00:19:46.394396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61f81186deabc12c1791d463078407ab4b095472a7001ca39b5eca4016b36ebb

Aliases

arxiv: 1803.11298 · arxiv_version: 1803.11298v1 · doi: 10.48550/arxiv.1803.11298 · pith_short_12: MH4BDBW6VPAS · pith_short_16: MH4BDBW6VPASYF4R · pith_short_8: MH4BDBW6

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/MH4BDBW6VPASYF4R2RRQPBAHVN \
  | 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: 61f81186deabc12c1791d463078407ab4b095472a7001ca39b5eca4016b36ebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddc084012ccaaa056145f9317d45cc2c6b13edaa3bfe3cd58eee5401d243c4dd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-30T01:06:43Z",
    "title_canon_sha256": "5058a44841fd712c4c6db435d6b5bd158db27814c772a9e13e97951a12f90417"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11298",
    "kind": "arxiv",
    "version": 1
  }
}