Pith Number

pith:7KCBCCED

pith:2008:7KCBCCED5HJ2S2KAOVOP5URRUH

not attested not anchored not stored refs pending

Function Spaces Related to the Dirichlet Space

Brett D. Wick, Eric Sawyer, Nicola Arcozzi, Richard Rochberg

arxiv:0812.3422 v1 · 2008-12-17 · math.CV · 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{7KCBCCED5HJ2S2KAOVOP5URRUH}

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	2026-05-18T04:13:46.021360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa84110883e9d3a96940755cfed231a1eb736a26ce75fb39e1448f86830499a5

Aliases

arxiv: 0812.3422 · arxiv_version: 0812.3422v1 · doi: 10.48550/arxiv.0812.3422 · pith_short_12: 7KCBCCED5HJ2 · pith_short_16: 7KCBCCED5HJ2S2KA · pith_short_8: 7KCBCCED

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/7KCBCCED5HJ2S2KAOVOP5URRUH \
  | 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: fa84110883e9d3a96940755cfed231a1eb736a26ce75fb39e1448f86830499a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90ee96cacd5183070e73b15441077a0878521639b91b59848433488f801ad140",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2008-12-17T22:24:17Z",
    "title_canon_sha256": "bd5a265e20441fd7a45b59de8ee9d3aa626bb39c2647b3a9f17caf6e9e3a991b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3422",
    "kind": "arxiv",
    "version": 1
  }
}