Pith Number

pith:PV3RRSOX

pith:2010:PV3RRSOXAOYDIERB6D66FJOTZE

not attested not anchored not stored refs pending

The Hardy Space $H^1$ on Non-homogeneous Metric Spaces

Dachun Yang, Dongyong Yang, Tuomas Hyt\"onen

arxiv:1008.3831 v3 · 2010-08-23 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PV3RRSOXAOYDIERB6D66FJOTZE}

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	2026-05-18T02:05:43.715012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d7718c9d703b0341221f0fde2a5d3c924cbd6c446761945bb442b54b09e59a2

Aliases

arxiv: 1008.3831 · arxiv_version: 1008.3831v3 · doi: 10.48550/arxiv.1008.3831 · pith_short_12: PV3RRSOXAOYD · pith_short_16: PV3RRSOXAOYDIERB · pith_short_8: PV3RRSOX

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/PV3RRSOXAOYDIERB6D66FJOTZE \
  | 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: 7d7718c9d703b0341221f0fde2a5d3c924cbd6c446761945bb442b54b09e59a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cf346981c12f46a2d8c5514e4683a7aff2ad3066fef4535e96fa334fd5b5053",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-08-23T14:29:35Z",
    "title_canon_sha256": "5f5005ffd7e3e98f43d2663be5b73499c6b0d304bc8b9f8f3f4283652b127db7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3831",
    "kind": "arxiv",
    "version": 3
  }
}