Pith Number

pith:3XBXXUZS

pith:2008:3XBXXUZSJIONKA7FA2D2GFGSY7

not attested not anchored not stored refs pending

Sur les quotients discrets de semi-groupes complexes

Christian Miebach

arxiv:0804.3556 v1 · 2008-04-22 · math.CV · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XBXXUZSJIONKA7FA2D2GFGSY7}

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	2026-05-18T04:40:10.611897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddc37bd3324a1cd503e50687a314d2c7c9eb1989edacfc209e0c4f2cbad1922e

Aliases

arxiv: 0804.3556 · arxiv_version: 0804.3556v1 · doi: 10.48550/arxiv.0804.3556 · pith_short_12: 3XBXXUZSJION · pith_short_16: 3XBXXUZSJIONKA7F · pith_short_8: 3XBXXUZS

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/3XBXXUZSJIONKA7FA2D2GFGSY7 \
  | 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: ddc37bd3324a1cd503e50687a314d2c7c9eb1989edacfc209e0c4f2cbad1922e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a1f26ed5ada3de26c5f37cee7818366849210727ec2158eb7b33a901f3813a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2008-04-22T15:52:34Z",
    "title_canon_sha256": "9e065eacf3ed95183f375a98c845f78c0ba59b00ec755e1a9bd4d90908085819"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3556",
    "kind": "arxiv",
    "version": 1
  }
}