Pith Number

pith:5MYHQDAQ

pith:2017:5MYHQDAQV7NL2APZVBB6GSZ6EF

not attested not anchored not stored refs pending

Central BMO spaces with variable exponent

Dinghuai Wang, Jiang Zhou, Zhidong Teng, Zongguang Liu

arxiv:1708.00285 v1 · 2017-08-01 · 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{5MYHQDAQV7NL2APZVBB6GSZ6EF}

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	2026-05-18T00:39:05.566090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb30780c10afdabd01f9a843e34b3e214abc839c67f2febb906d72a28237d938

Aliases

arxiv: 1708.00285 · arxiv_version: 1708.00285v1 · doi: 10.48550/arxiv.1708.00285 · pith_short_12: 5MYHQDAQV7NL · pith_short_16: 5MYHQDAQV7NL2APZ · pith_short_8: 5MYHQDAQ

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/5MYHQDAQV7NL2APZVBB6GSZ6EF \
  | 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: eb30780c10afdabd01f9a843e34b3e214abc839c67f2febb906d72a28237d938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da9c2f5c73952beaaa8a0d174504bee659416a6f4e6c18e58c79333f9fedb05f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-01T12:39:46Z",
    "title_canon_sha256": "301d1e75034977b38d745b6918d284a20b807f287b622772214301c8ea2e66fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00285",
    "kind": "arxiv",
    "version": 1
  }
}