Pith Number

pith:RFGNBCRH

pith:2013:RFGNBCRHIVTCQ6YI6EJSYM2EXE

not attested not anchored not stored refs pending

Spectral synthesis in de Branges spaces

Alexander Borichev, Anton Baranov, Yurii Belov

arxiv:1309.6915 v2 · 2013-09-26 · 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{RFGNBCRHIVTCQ6YI6EJSYM2EXE}

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	2026-05-18T02:28:05.526373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

894cd08a274566287b08f1132c3344b9398e1cd2233c52cebe28c64d0219cb5c

Aliases

arxiv: 1309.6915 · arxiv_version: 1309.6915v2 · doi: 10.48550/arxiv.1309.6915 · pith_short_12: RFGNBCRHIVTC · pith_short_16: RFGNBCRHIVTCQ6YI · pith_short_8: RFGNBCRH

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/RFGNBCRHIVTCQ6YI6EJSYM2EXE \
  | 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: 894cd08a274566287b08f1132c3344b9398e1cd2233c52cebe28c64d0219cb5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf8549e48303ac2be7b1fe3e89d92f835253417be0b2879b91812b82434be351",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-09-26T14:24:55Z",
    "title_canon_sha256": "029c75dbad4b4a2141f7da457d7900f016cd1d3efb312de0ac617d41f827e25a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6915",
    "kind": "arxiv",
    "version": 2
  }
}