Pith Number

pith:UTJ2EA3R

pith:2014:UTJ2EA3R3T4VKPRQQD4S7O6Z3J

not attested not anchored not stored refs pending

de Branges-Rovnyak spaces and norm-constraint interpolation

Joseph A. Ball, Vladimir Bolotnikov

arxiv:1405.2985 v1 · 2014-05-12 · 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{UTJ2EA3R3T4VKPRQQD4S7O6Z3J}

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	2026-05-18T02:51:58.031563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d3a20371dcf9553e3080f92fbbd9da5a76152d9082fa2fada55a8f5b201e5d

Aliases

arxiv: 1405.2985 · arxiv_version: 1405.2985v1 · doi: 10.48550/arxiv.1405.2985 · pith_short_12: UTJ2EA3R3T4V · pith_short_16: UTJ2EA3R3T4VKPRQ · pith_short_8: UTJ2EA3R

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/UTJ2EA3R3T4VKPRQQD4S7O6Z3J \
  | 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: a4d3a20371dcf9553e3080f92fbbd9da5a76152d9082fa2fada55a8f5b201e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53577d0b928e404b8689edaaef4d0a9e4f5d71b94c77911a74502ff675740fc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-05-12T22:14:32Z",
    "title_canon_sha256": "48062804cc5691148d8dfc1927a02cafaf96a1c9447f0e043a601c4cd7a874dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2985",
    "kind": "arxiv",
    "version": 1
  }
}