Pith Number

pith:4L3IGPOX

pith:2005:4L3IGPOXRYL4AUZFQEEF53GP7G

not attested not anchored not stored refs pending

On the Baum-Connes conjecture in the real case

Max Karoubi (Universite de Paris), Paul Baum (Penn State University)

arxiv:math/0509495 v1 · 2005-09-21 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4L3IGPOXRYL4AUZFQEEF53GP7G}

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	2026-05-18T01:05:23.129272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f6833dd78e17c0532581085eeccff9b592bd03f2ca86b32e2e679d5a4142a9

Aliases

arxiv: math/0509495 · arxiv_version: math/0509495v1 · doi: 10.48550/arxiv.math/0509495 · pith_short_12: 4L3IGPOXRYL4 · pith_short_16: 4L3IGPOXRYL4AUZF · pith_short_8: 4L3IGPOX

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/4L3IGPOXRYL4AUZFQEEF53GP7G \
  | 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: e2f6833dd78e17c0532581085eeccff9b592bd03f2ca86b32e2e679d5a4142a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f1e673d71ebe93a16d792ee5f9bc93ad5e537d10445e28dfad97c1eb40ddde5",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2005-09-21T17:42:31Z",
    "title_canon_sha256": "07e7c28df7874079dc0f0caafb76dd558912ccb8de73cd750dcf17907acb623d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509495",
    "kind": "arxiv",
    "version": 1
  }
}