Pith Number

pith:F6EY7YNV

pith:2009:F6EY7YNVGAZ6KZGSM4PANLEWJR

not attested not anchored not stored refs pending

Majorization in de Branges spaces II. Banach spaces generated by majorants

Anton Baranov, Harald Woracek

arxiv:0906.2943 v1 · 2009-06-16 · math.CV · 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{F6EY7YNVGAZ6KZGSM4PANLEWJR}

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	2026-05-18T04:05:47.003818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f898fe1b53033e564d2671e06ac964c72b496f10930217ac00ce44c4490ad72

Aliases

arxiv: 0906.2943 · arxiv_version: 0906.2943v1 · doi: 10.48550/arxiv.0906.2943 · pith_short_12: F6EY7YNVGAZ6 · pith_short_16: F6EY7YNVGAZ6KZGS · pith_short_8: F6EY7YNV

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/F6EY7YNVGAZ6KZGSM4PANLEWJR \
  | 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: 2f898fe1b53033e564d2671e06ac964c72b496f10930217ac00ce44c4490ad72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97d71bccb1bda1cd57df048774b52b95caa3d676ca7bfa9d4c07a790baa3c36c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-06-16T14:06:42Z",
    "title_canon_sha256": "187a68b319e144ec56edebfa23cfe1d9a1107d311344caf2e53b03a0e72946b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2943",
    "kind": "arxiv",
    "version": 1
  }
}