Pith Number

pith:UWJ26F3F

pith:2011:UWJ26F3FG7GY77XLSYGIZKOTML

not attested not anchored not stored refs pending

Bad boundary behavior in star invariant subspaces II

Andreas Hartmann (IMB), William T. Ross

arxiv:1109.1110 v1 · 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{UWJ26F3FG7GY77XLSYGIZKOTML}

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	2026-05-18T03:34:46.292663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a593af176537cd8ffeeb960c8ca9d362c15d8d708c4b933435a25ab687eafa46

Aliases

arxiv: 1109.1110 · arxiv_version: 1109.1110v1 · doi: 10.48550/arxiv.1109.1110 · pith_short_12: UWJ26F3FG7GY · pith_short_16: UWJ26F3FG7GY77XL · pith_short_8: UWJ26F3F

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/UWJ26F3FG7GY77XLSYGIZKOTML \
  | 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: a593af176537cd8ffeeb960c8ca9d362c15d8d708c4b933435a25ab687eafa46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65a290f1863b23b2699c6e07a641fcf58b428fcd31f4c4e5599306bca8137d6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-09-06T08:42:20Z",
    "title_canon_sha256": "1d044951810896896d44639870848f7570bb1575e09f3d57c400e5483cef6f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1110",
    "kind": "arxiv",
    "version": 1
  }
}