Pith Number

pith:MOSANYJN

pith:2012:MOSANYJN7JYQCJVGCK6JV2LHPH

not attested not anchored not stored refs pending

An Interpolation Theorem for Sublinear Operators on Non-homogeneous Metric Measure Spaces

Dongyong Yang, Haibo Lin

arxiv:1201.6097 v1 · 2012-01-30 · 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{MOSANYJN7JYQCJVGCK6JV2LHPH}

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	2026-05-18T04:03:33.713022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63a406e12dfa710126a612bc9ae96779cb2923df81606affa348ebc47674451c

Aliases

arxiv: 1201.6097 · arxiv_version: 1201.6097v1 · doi: 10.48550/arxiv.1201.6097 · pith_short_12: MOSANYJN7JYQ · pith_short_16: MOSANYJN7JYQCJVG · pith_short_8: MOSANYJN

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/MOSANYJN7JYQCJVGCK6JV2LHPH \
  | 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: 63a406e12dfa710126a612bc9ae96779cb2923df81606affa348ebc47674451c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89af610002da80c15fbceb01dc7f55cee972f4563d00e40ac1fc2b8a2c9fd0f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-30T01:35:01Z",
    "title_canon_sha256": "0dbfbd116a4ebf995b1d1dad27e3f80658e37fb8fc2c08613234e1035aff3717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6097",
    "kind": "arxiv",
    "version": 1
  }
}