Pith Number

pith:I2J42P53

pith:2012:I2J42P53O5HLNJF5Q45ZTFY3GE

not attested not anchored not stored refs pending

Weighted Poincar\'{e} Inequalities for Nonlocal Dirichlet Forms

Jian Wang, Xin Chen

arxiv:1207.7140 v1 · 2012-07-31 · math.PR · 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{I2J42P53O5HLNJF5Q45ZTFY3GE}

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	2026-05-18T03:49:46.650523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4693cd3fbb774eb6a4bd873b99971b31091ef179d1fb0e8fe13cd65a9ec5b817

Aliases

arxiv: 1207.7140 · arxiv_version: 1207.7140v1 · doi: 10.48550/arxiv.1207.7140 · pith_short_12: I2J42P53O5HL · pith_short_16: I2J42P53O5HLNJF5 · pith_short_8: I2J42P53

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/I2J42P53O5HLNJF5Q45ZTFY3GE \
  | 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: 4693cd3fbb774eb6a4bd873b99971b31091ef179d1fb0e8fe13cd65a9ec5b817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6178089cb04a8e47fbb411b1fd7103d299ea197ef35b76008876374a9b53f23",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-31T00:46:00Z",
    "title_canon_sha256": "e675c072eb5961c56bc24e70ed83b8fd02c741719adfc0f026c57478a60fcd93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7140",
    "kind": "arxiv",
    "version": 1
  }
}