Pith Number

pith:M6NPOGCH

pith:2014:M6NPOGCHAWLIC7MMDJTYK4PN2E

not attested not anchored not stored refs pending

Martingale Hardy spaces with variable exponents

Dejian Zhou, Wei Chen, Yong Jiao, Zhiwei Hao

arxiv:1404.2395 v3 · 2014-04-09 · 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{M6NPOGCHAWLIC7MMDJTYK4PN2E}

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	2026-05-18T00:50:23.557618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

679af718470596817d8c1a678571edd130fb721d5bbfc1bfb0c087dea48f9155

Aliases

arxiv: 1404.2395 · arxiv_version: 1404.2395v3 · doi: 10.48550/arxiv.1404.2395 · pith_short_12: M6NPOGCHAWLI · pith_short_16: M6NPOGCHAWLIC7MM · pith_short_8: M6NPOGCH

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/M6NPOGCHAWLIC7MMDJTYK4PN2E \
  | 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: 679af718470596817d8c1a678571edd130fb721d5bbfc1bfb0c087dea48f9155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "774e55e65fe1f0e80890cabd111d88279cfc8bec88a4d69e42a5e2976ad47a45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-04-09T08:18:41Z",
    "title_canon_sha256": "9b92c653912fe133764232d0595ea8756cc74bfa099e83cd50f60dc086a2d830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2395",
    "kind": "arxiv",
    "version": 3
  }
}