Pith Number

pith:UYBRYOB4

pith:2003:UYBRYOB4BRFUFMHDS6B3UXXBKD

not attested not anchored not stored refs pending

Very badly approximable matrix functions

S.R. Treil, V.V. Peller

arxiv:math/0303186 v1 · 2003-03-15 · math.FA · math.CA · math.CO · math.CT · 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{UYBRYOB4BRFUFMHDS6B3UXXBKD}

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	2026-05-18T01:05:29.001643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6031c383c0c4b42b0e39783ba5ee150cf001c6710cb3f64fdc2c5fdf16c4d33

Aliases

arxiv: math/0303186 · arxiv_version: math/0303186v1 · doi: 10.48550/arxiv.math/0303186 · pith_short_12: UYBRYOB4BRFU · pith_short_16: UYBRYOB4BRFUFMHD · pith_short_8: UYBRYOB4

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/UYBRYOB4BRFUFMHDS6B3UXXBKD \
  | 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: a6031c383c0c4b42b0e39783ba5ee150cf001c6710cb3f64fdc2c5fdf16c4d33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2497cacf6a78ed882317f9f7e32e400c4ee55a44031c4b69ac6928740f5ba84",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO",
      "math.CT",
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2003-03-15T17:45:55Z",
    "title_canon_sha256": "7fbad9d817ee76dd59329fea896eff4883b9687a190c7e42dd3612a3041494f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303186",
    "kind": "arxiv",
    "version": 1
  }
}