Pith Number

pith:ENUPTRRF

pith:2007:ENUPTRRFIX3LPYJFX4SJQ3MWCN

not attested not anchored not stored refs pending

A Schwarz lemma for a domain related to mu-synthesis

A. A. Abouhajar, M. C. White, N. J. Young

arxiv:0708.0637 v3 · 2007-08-04 · math.CV · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENUPTRRFIX3LPYJFX4SJQ3MWCN}

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	2026-05-18T03:31:18.355463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2368f9c62545f6b7e125bf24986d96137ad78e5927a47884d3542f05ab9b50d3

Aliases

arxiv: 0708.0637 · arxiv_version: 0708.0637v3 · doi: 10.48550/arxiv.0708.0637 · pith_short_12: ENUPTRRFIX3L · pith_short_16: ENUPTRRFIX3LPYJF · pith_short_8: ENUPTRRF

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/ENUPTRRFIX3LPYJFX4SJQ3MWCN \
  | 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: 2368f9c62545f6b7e125bf24986d96137ad78e5927a47884d3542f05ab9b50d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "865f591b157111c53e31285dbacb739234c5ae54dc75719d8aa61629957308f5",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2007-08-04T17:04:51Z",
    "title_canon_sha256": "bc75468bfea6b125589d4790c7eb2fd3131003cfba8b65aaa11a7997260d0d75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0637",
    "kind": "arxiv",
    "version": 3
  }
}