Pith Number

pith:RQIGJS2F

pith:2012:RQIGJS2FAYR5KUEGQC75DRDSQN

not attested not anchored not stored refs pending

Inner functions on the bidisk and associated Hilbert spaces

Greg Knese, Kelly Bickel

arxiv:1207.2486 v1 · 2012-07-10 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQIGJS2FAYR5KUEGQC75DRDSQN}

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	2026-05-18T00:52:32.968599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c1064cb450623d5508680bfd1c4728371a8460ac698de336a1a9c626e369402

Aliases

arxiv: 1207.2486 · arxiv_version: 1207.2486v1 · doi: 10.48550/arxiv.1207.2486 · pith_short_12: RQIGJS2FAYR5 · pith_short_16: RQIGJS2FAYR5KUEG · pith_short_8: RQIGJS2F

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/RQIGJS2FAYR5KUEGQC75DRDSQN \
  | 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: 8c1064cb450623d5508680bfd1c4728371a8460ac698de336a1a9c626e369402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e14535988653b85287cd3e204094fe5d04682e289f2bbffb9c5ec3c69b9395",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-10T20:40:10Z",
    "title_canon_sha256": "d002ee4c0e6db3899b447ba03f934bb5bfc017407c3486cbe495cc5467ec1edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2486",
    "kind": "arxiv",
    "version": 1
  }
}