Pith Number

pith:5ZP4VEPF

pith:2007:5ZP4VEPF2KSOFZALZQRVIALTZQ

not attested not anchored not stored refs pending

Dimension of asymptotic cones of Lie groups

Yves de Cornulier

arxiv:math/0703192 v1 · 2007-03-07 · 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{5ZP4VEPF2KSOFZALZQRVIALTZQ}

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	2026-05-18T04:42:36.292061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee5fca91e5d2a4e2e40bcc23540173cc074672e143c68ec20c99710214d5c297

Aliases

arxiv: math/0703192 · arxiv_version: math/0703192v1 · doi: 10.48550/arxiv.math/0703192 · pith_short_12: 5ZP4VEPF2KSO · pith_short_16: 5ZP4VEPF2KSOFZAL · pith_short_8: 5ZP4VEPF

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/5ZP4VEPF2KSOFZALZQRVIALTZQ \
  | 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: ee5fca91e5d2a4e2e40bcc23540173cc074672e143c68ec20c99710214d5c297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6157d40c8c4f37111e2aa9a7fdb3149bb51508d203d229a7b35ff1cdb664694",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-03-07T14:33:48Z",
    "title_canon_sha256": "0e7e9bb009463e0663368958ab568da36169d50b267a451ea75a8f20e3a860fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703192",
    "kind": "arxiv",
    "version": 1
  }
}