Pith Number

pith:JFLFK5HP

pith:2010:JFLFK5HPXEXF4FL4UPWUOA4IHP

not attested not anchored not stored refs pending

Dilations of interaction groups that extend actions of Ore semigroups

Fernando Abadie

arxiv:1008.0903 v1 · 2010-08-05 · 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{JFLFK5HPXEXF4FL4UPWUOA4IHP}

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	2026-05-18T04:42:35.035611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49565574efb92e5e157ca3ed4703883bf907dad3e866b46a306fe4f2fed9cb39

Aliases

arxiv: 1008.0903 · arxiv_version: 1008.0903v1 · doi: 10.48550/arxiv.1008.0903 · pith_short_12: JFLFK5HPXEXF · pith_short_16: JFLFK5HPXEXF4FL4 · pith_short_8: JFLFK5HP

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/JFLFK5HPXEXF4FL4UPWUOA4IHP \
  | 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: 49565574efb92e5e157ca3ed4703883bf907dad3e866b46a306fe4f2fed9cb39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcb5c59aba77fec3c433b44db4a32919dac6377b0f44e63d4f103a865f2f7c63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-08-05T02:40:54Z",
    "title_canon_sha256": "09c9680fbb738114954a9843d8a1a3100ee23da8cc9024be875e1c011c4dece9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0903",
    "kind": "arxiv",
    "version": 1
  }
}