Pith Number

pith:K4WKBDFD

pith:2009:K4WKBDFDLUC7RE3KEI2BSXCKQR

not attested not anchored not stored refs pending

Asymptotic cones of Lie groups and cone equivalences

Yves Cornulier

arxiv:0907.2546 v2 · 2009-07-15 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4WKBDFDLUC7RE3KEI2BSXCKQR}

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	2026-05-18T02:51:25.772160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572ca08ca35d05f8936a2234195c4a8462522486d2635367dc65d953bc632e71

Aliases

arxiv: 0907.2546 · arxiv_version: 0907.2546v2 · doi: 10.48550/arxiv.0907.2546 · pith_short_12: K4WKBDFDLUC7 · pith_short_16: K4WKBDFDLUC7RE3K · pith_short_8: K4WKBDFD

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/K4WKBDFDLUC7RE3KEI2BSXCKQR \
  | 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: 572ca08ca35d05f8936a2234195c4a8462522486d2635367dc65d953bc632e71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1bde19f526f4ce19373793562384af7afec752a8859531af6a7dd41944eca12",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-07-15T10:11:46Z",
    "title_canon_sha256": "c1d462c0974716bad146b4096ba07b95707b8e16ee67d0f2d86efc60a7fd9133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2546",
    "kind": "arxiv",
    "version": 2
  }
}