Pith Number

pith:NV2KNDDF

pith:2022:NV2KNDDFPI7ZPCG2OYWY7YZXL6

not attested not anchored not stored refs pending

On functions of bounded $\beta$-dimensional mean oscillation

Daniel Spector, You-Wei Benson Chen

arxiv:2207.06979 v2 · 2022-07-14 · math.AP · 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{NV2KNDDFPI7ZPCG2OYWY7YZXL6}

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	2026-07-05T04:56:18.788849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d74a68c657a3f9788da762d8fe3375f93b905510bbfb31abe03e3f4b3988b4a

Aliases

arxiv: 2207.06979 · arxiv_version: 2207.06979v2 · doi: 10.48550/arxiv.2207.06979 · pith_short_12: NV2KNDDFPI7Z · pith_short_16: NV2KNDDFPI7ZPCG2 · pith_short_8: NV2KNDDF

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/NV2KNDDFPI7ZPCG2OYWY7YZXL6 \
  | 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: 6d74a68c657a3f9788da762d8fe3375f93b905510bbfb31abe03e3f4b3988b4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6332c883e138d4232dfb3b35d023f7030d721c7d439b4631730cd6358ff77110",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-07-14T15:02:37Z",
    "title_canon_sha256": "491ed5d7b9c9cda35da6773078232c1ef950f3116d74a3f5d3c9a5443666c89c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.06979",
    "kind": "arxiv",
    "version": 2
  }
}