Pith Number

pith:73J47NLM

pith:2014:73J47NLMNXDBLWH63TI4TILKQW

not attested not anchored not stored refs pending

de Branges-Rovnyak spaces: basics and theory

Joseph A. Ball, Vladimir Bolotnikov

arxiv:1405.2980 v1 · 2014-05-12 · math.CA · 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{73J47NLMNXDBLWH63TI4TILKQW}

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	2026-05-18T02:51:58.043181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fed3cfb56c6dc615d8fedcd1c9a16a859b8ce17e30fa01a84152d334288bba2d

Aliases

arxiv: 1405.2980 · arxiv_version: 1405.2980v1 · doi: 10.48550/arxiv.1405.2980 · pith_short_12: 73J47NLMNXDB · pith_short_16: 73J47NLMNXDBLWH6 · pith_short_8: 73J47NLM

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/73J47NLMNXDBLWH63TI4TILKQW \
  | 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: fed3cfb56c6dc615d8fedcd1c9a16a859b8ce17e30fa01a84152d334288bba2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af6d7bc7ca66216c4bc83435b2f4a5a3eeca6cf1bc2f8e31aaa71be4ad78ce7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-05-12T22:01:53Z",
    "title_canon_sha256": "2b4fbef408ee1876f00374eb8ca9a1fd237f710c7db95f9e01c619418c4ec778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2980",
    "kind": "arxiv",
    "version": 1
  }
}