Pith Number

pith:G2UJIFDY

pith:2012:G2UJIFDY2JLJWBOLKRAZNMYF2M

not attested not anchored not stored refs pending

$E_0$-semigroups: around and beyond Arveson's work

Masaki Izumi

arxiv:1209.5838 v1 · 2012-09-26 · 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{G2UJIFDY2JLJWBOLKRAZNMYF2M}

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	2026-05-18T03:44:46.216989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36a8941478d2569b05cb544196b305d3319f40a4e841afd771bad10bbc796e74

Aliases

arxiv: 1209.5838 · arxiv_version: 1209.5838v1 · doi: 10.48550/arxiv.1209.5838 · pith_short_12: G2UJIFDY2JLJ · pith_short_16: G2UJIFDY2JLJWBOL · pith_short_8: G2UJIFDY

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/G2UJIFDY2JLJWBOLKRAZNMYF2M \
  | 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: 36a8941478d2569b05cb544196b305d3319f40a4e841afd771bad10bbc796e74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5febba6187c65707714af872c5d93a0e30205ab83c44071ec473494c4c9c8fc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-09-26T06:21:16Z",
    "title_canon_sha256": "cbcf33a228c6ae139bbe3382aff3699b17fb8fc48106a026bc539813db273c8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5838",
    "kind": "arxiv",
    "version": 1
  }
}