Pith Number

pith:IGN2SB4O

pith:2005:IGN2SB4OA5VGKWMUAYFQ4C33AM

not attested not anchored not stored refs pending

Bounded and unitary elements in pro-C^*-algebras

G\'abor Luk\'acs, Rachid El Harti

arxiv:math/0511068 v2 · 2005-11-03 · math.CT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGN2SB4OA5VGKWMUAYFQ4C33AM}

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	2026-05-18T04:12:19.389365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

419ba9078e076a655994060b0e0b7b030d64125fd91f5b8c59a0a160d8a697af

Aliases

arxiv: math/0511068 · arxiv_version: math/0511068v2 · doi: 10.48550/arxiv.math/0511068 · pith_short_12: IGN2SB4OA5VG · pith_short_16: IGN2SB4OA5VGKWMU · pith_short_8: IGN2SB4O

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/IGN2SB4OA5VGKWMUAYFQ4C33AM \
  | 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: 419ba9078e076a655994060b0e0b7b030d64125fd91f5b8c59a0a160d8a697af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55be121872e067cc93e76759a28af1e8cce190d18e865dcb2e7d070e1bd90b22",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2005-11-03T01:38:47Z",
    "title_canon_sha256": "69a7dd23ab8802fb58f9473e39e5aadaa6c0e65de85e4ed2f6965c119bd4f640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511068",
    "kind": "arxiv",
    "version": 2
  }
}