Pith Number

pith:3MFOZ7BG

pith:2016:3MFOZ7BGAURTWSO5NIL7MUIBAB

not attested not anchored not stored refs pending

Maximal function characterizations for Hardy spaces associated to nonnegative self-adjoint operators on spaces of homogeneous type

Liang Song, Lixin Yan

arxiv:1605.07701 v1 · 2016-05-25 · 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{3MFOZ7BGAURTWSO5NIL7MUIBAB}

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	2026-05-18T01:13:39.360852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db0aecfc2605233b49dd6a17f6510100667a1e28dd90f1e62ad9070c40841460

Aliases

arxiv: 1605.07701 · arxiv_version: 1605.07701v1 · doi: 10.48550/arxiv.1605.07701 · pith_short_12: 3MFOZ7BGAURT · pith_short_16: 3MFOZ7BGAURTWSO5 · pith_short_8: 3MFOZ7BG

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/3MFOZ7BGAURTWSO5NIL7MUIBAB \
  | 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: db0aecfc2605233b49dd6a17f6510100667a1e28dd90f1e62ad9070c40841460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7ccbd583e36968965d8c160c15d63c00928be3482c3f60abde1b6da30279e6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-25T01:38:29Z",
    "title_canon_sha256": "59ef9729059e84b169ecf26990d26555f24795e6fa9dafc1ebb5e8e54cd9cb56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07701",
    "kind": "arxiv",
    "version": 1
  }
}