Pith Number

pith:SBLH32UF

pith:2011:SBLH32UFVOT7TVKX7OP3OZXLYF

not attested not anchored not stored refs pending

Bad boundary behavior in star invariant subspaces I

Andreas Hartmann (IMB), William T. Ross

arxiv:1109.1091 v2 · 2011-09-06 · 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{SBLH32UFVOT7TVKX7OP3OZXLYF}

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	2026-05-18T02:00:39.236272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90567dea85aba7f9d557fb9fb766ebc15bc3844a5f96436de86919bfdccd8c2e

Aliases

arxiv: 1109.1091 · arxiv_version: 1109.1091v2 · doi: 10.48550/arxiv.1109.1091 · pith_short_12: SBLH32UFVOT7 · pith_short_16: SBLH32UFVOT7TVKX · pith_short_8: SBLH32UF

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/SBLH32UFVOT7TVKX7OP3OZXLYF \
  | 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: 90567dea85aba7f9d557fb9fb766ebc15bc3844a5f96436de86919bfdccd8c2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "874796ebc02dca474dc015a84c25d7b0625693b461ef15ef702454a7b316a16f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-09-06T07:14:40Z",
    "title_canon_sha256": "693e2790b029c941813751a8d5f9c82fa7cbf2a483f5007b9997d55f8fbe36ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1091",
    "kind": "arxiv",
    "version": 2
  }
}