Pith Number

pith:5PIKE5WN

pith:2008:5PIKE5WNPAYFOCIUWHZFIWGCTI

not attested not anchored not stored refs pending

Bilinear Forms on the Dirichlet Space

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

arxiv:0811.4107 v1 · 2008-11-25 · 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{5PIKE5WNPAYFOCIUWHZFIWGCTI}

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	2026-05-18T04:39:17.027094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd0a276cd7830570914b1f25458c29a14128dc1a698cec7aef0ab6ea8979638

Aliases

arxiv: 0811.4107 · arxiv_version: 0811.4107v1 · doi: 10.48550/arxiv.0811.4107 · pith_short_12: 5PIKE5WNPAYF · pith_short_16: 5PIKE5WNPAYFOCIU · pith_short_8: 5PIKE5WN

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/5PIKE5WNPAYFOCIUWHZFIWGCTI \
  | 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: ebd0a276cd7830570914b1f25458c29a14128dc1a698cec7aef0ab6ea8979638

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de50f6df6e6b574c8dc038dee8ff485f094d2126e6f99ad8e7966057cf044081",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2008-11-25T15:14:32Z",
    "title_canon_sha256": "1ba1cf1bc37e2e4469757ab3f1aad67d507fc6d33ecda6a8d482153277169cd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4107",
    "kind": "arxiv",
    "version": 1
  }
}