Pith Number

pith:W4Z7ZOWC

pith:2022:W4Z7ZOWCCTJQULWDEONLEMC2ZU

not attested not anchored not stored refs pending

Herz-slice spaces and applications

Jiang Zhou, Songbai Wang, Yuan Lu

arxiv:2204.08635 v1 · 2022-04-19 · 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{W4Z7ZOWCCTJQULWDEONLEMC2ZU}

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	2026-07-05T04:15:32.373400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b733fcbac214d30a2ec3239ab2305acd0172d05a023727062cab57c4a4e6e5ee

Aliases

arxiv: 2204.08635 · arxiv_version: 2204.08635v1 · doi: 10.48550/arxiv.2204.08635 · pith_short_12: W4Z7ZOWCCTJQ · pith_short_16: W4Z7ZOWCCTJQULWD · pith_short_8: W4Z7ZOWC

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/W4Z7ZOWCCTJQULWDEONLEMC2ZU \
  | 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: b733fcbac214d30a2ec3239ab2305acd0172d05a023727062cab57c4a4e6e5ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "664d77a65d9b87051f8e893d66c53c3595e1c84cf5689b28fe6593640c45a44d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-04-19T03:33:11Z",
    "title_canon_sha256": "de109a5c6a1ad046aac1f4692dd80dc0829fab24dd553ae2123086e212f9e6eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.08635",
    "kind": "arxiv",
    "version": 1
  }
}