Pith Number

pith:G2PLAEWU

pith:2000:G2PLAEWU6AYKJ4GY3ZZR52PH6R

not attested not anchored not stored refs pending

Enveloping actions and Takai duality for partial actions

Fernando Abadie

arxiv:math/0007109 v2 · 2000-07-17 · 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{G2PLAEWU6AYKJ4GY3ZZR52PH6R}

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	2026-05-18T00:20:07.964330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

369eb012d4f030a4f0d8de731ee9e7f4643ac721fef4b8fa9f6b6bb31d878fa1

Aliases

arxiv: math/0007109 · arxiv_version: math/0007109v2 · doi: 10.48550/arxiv.math/0007109 · pith_short_12: G2PLAEWU6AYK · pith_short_16: G2PLAEWU6AYKJ4GY · pith_short_8: G2PLAEWU

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/G2PLAEWU6AYKJ4GY3ZZR52PH6R \
  | 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: 369eb012d4f030a4f0d8de731ee9e7f4643ac721fef4b8fa9f6b6bb31d878fa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eec0eb8472cda0a626aef48844228f97faf0f77b3515036aef456349981deb00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2000-07-17T17:49:35Z",
    "title_canon_sha256": "236c92b25b2d5b61b3146b135be0827314aefccc9bd473b920de1045b5b4b516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0007109",
    "kind": "arxiv",
    "version": 2
  }
}