Pith Number

pith:CX66737P

pith:2012:CX66737PEX5GMN5VKVBIDXF7VO

not attested not anchored not stored refs pending

Pontryagin de Branges Rovnyak spaces of slice hyperholomorphic functions

Daniel Alpay, Fabrizio Colombo, Irene Sabadini

arxiv:1203.0234 v1 · 2012-03-01 · 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{CX66737PEX5GMN5VKVBIDXF7VO}

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	2026-05-18T04:01:02.755405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15fdefefef25fa6637b5554281dcbfaba3de37d971ac8bf2bca071e0a6fa9d43

Aliases

arxiv: 1203.0234 · arxiv_version: 1203.0234v1 · doi: 10.48550/arxiv.1203.0234 · pith_short_12: CX66737PEX5G · pith_short_16: CX66737PEX5GMN5V · pith_short_8: CX66737P

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/CX66737PEX5GMN5VKVBIDXF7VO \
  | 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: 15fdefefef25fa6637b5554281dcbfaba3de37d971ac8bf2bca071e0a6fa9d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6561776c4f5ae8c5eac6118536eb4133e4d55291a8aa6f3b546c27a788b32e7e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-03-01T16:23:16Z",
    "title_canon_sha256": "12e682e392b9d709b4022275452fa47cc22b2f68f2037148d643d0686d3999a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0234",
    "kind": "arxiv",
    "version": 1
  }
}