Pith Number

pith:WHBBRIIT

pith:2012:WHBBRIITQXYXWDEBZDDMRPXWF2

not attested not anchored not stored refs pending

Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems

Joseph A. Ball, Vladimir Bolotnikov

arxiv:1209.3687 v1 · 2012-09-17 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHBBRIITQXYXWDEBZDDMRPXWF2}

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	2026-05-18T03:45:23.708200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1c218a11385f17b0c81c8c6c8bef62ea655eb7339a9617fdab399190b3bb4c9

Aliases

arxiv: 1209.3687 · arxiv_version: 1209.3687v1 · doi: 10.48550/arxiv.1209.3687 · pith_short_12: WHBBRIITQXYX · pith_short_16: WHBBRIITQXYXWDEB · pith_short_8: WHBBRIIT

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/WHBBRIITQXYXWDEBZDDMRPXWF2 \
  | 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: b1c218a11385f17b0c81c8c6c8bef62ea655eb7339a9617fdab399190b3bb4c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c26ff45960d36ff8facdeab3340dd20de7b40b99f68f1ebd216137769b537cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-17T15:21:53Z",
    "title_canon_sha256": "cd3f66d8401a39033492ea7bd30ebb61200c6e7ffa76c66096a914c5b9aad639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3687",
    "kind": "arxiv",
    "version": 1
  }
}