Pith Number

pith:REA2WYGQ

pith:2011:REA2WYGQXPEHJRSDZCIGPIK5ZJ

not attested not anchored not stored refs pending

Continuous families of E_0-semigroups

Daniel Markiewicz, Ilan Hirshberg

arxiv:1106.5967 v1 · 2011-06-29 · 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{REA2WYGQXPEHJRSDZCIGPIK5ZJ}

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	2026-05-18T04:19:04.769416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8901ab60d0bbc874c643c89067a15dca4b1cbc70fc80779c74c921f809157332

Aliases

arxiv: 1106.5967 · arxiv_version: 1106.5967v1 · doi: 10.48550/arxiv.1106.5967 · pith_short_12: REA2WYGQXPEH · pith_short_16: REA2WYGQXPEHJRSD · pith_short_8: REA2WYGQ

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/REA2WYGQXPEHJRSDZCIGPIK5ZJ \
  | 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: 8901ab60d0bbc874c643c89067a15dca4b1cbc70fc80779c74c921f809157332

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "657e4cbc1146b4437bf82de88c74da6e86b5f9ac331e9ac22209341a50d549bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-06-29T15:15:12Z",
    "title_canon_sha256": "d396f7b90ae66a8f332d8bc4f5b90a8f32eff7fb6dabbc9fff82db9eb983019d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5967",
    "kind": "arxiv",
    "version": 1
  }
}