Pith Number

pith:GZAMV7H2

pith:2010:GZAMV7H2JMLYT6UW747TU26MP4

not attested not anchored not stored refs pending

Rate of convergence of linear functions on the unitary group

B. Singphu, F. Mezzadri, J. P. Keating

arxiv:1009.0695 v2 · 2010-09-03 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZAMV7H2JMLYT6UW747TU26MP4}

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	2026-05-18T03:52:15.184810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3640cafcfa4b1789fa96ff3f3a6bcc7f3bf840e813091b419e6d5563a6c93d3f

Aliases

arxiv: 1009.0695 · arxiv_version: 1009.0695v2 · doi: 10.48550/arxiv.1009.0695 · pith_short_12: GZAMV7H2JMLY · pith_short_16: GZAMV7H2JMLYT6UW · pith_short_8: GZAMV7H2

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/GZAMV7H2JMLYT6UW747TU26MP4 \
  | 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: 3640cafcfa4b1789fa96ff3f3a6bcc7f3bf840e813091b419e6d5563a6c93d3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b009ea24f341cad51368ab9aa861085173b30b537334857dd64db8a46af4083d",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-03T15:09:04Z",
    "title_canon_sha256": "1c40015bf0efe253db376e3682f3aeb3071116c137c7fe31766f980f9bebf868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0695",
    "kind": "arxiv",
    "version": 2
  }
}