Pith Number

pith:2UWFMXEZ

pith:2014:2UWFMXEZJ5E2T26OQBV3H6IK5Q

not attested not anchored not stored refs pending

On the classification and modular extendability of E$_0$-semigroups on factors

Daniel Markiewicz, Panchugopal Bikram

arxiv:1409.6675 v2 · 2014-09-23 · 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{2UWFMXEZJ5E2T26OQBV3H6IK5Q}

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	2026-05-18T02:39:25.244645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d52c565c994f49a9ebce806bb3f90aec0fa31784be4d331bb4582615690adacd

Aliases

arxiv: 1409.6675 · arxiv_version: 1409.6675v2 · doi: 10.48550/arxiv.1409.6675 · pith_short_12: 2UWFMXEZJ5E2 · pith_short_16: 2UWFMXEZJ5E2T26O · pith_short_8: 2UWFMXEZ

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/2UWFMXEZJ5E2T26OQBV3H6IK5Q \
  | 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: d52c565c994f49a9ebce806bb3f90aec0fa31784be4d331bb4582615690adacd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87bf4f5a8e268ae52c37ec8e5ce90241faf66652f42ce10ebddb860114a40436",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-09-23T17:30:05Z",
    "title_canon_sha256": "1cfd0c7d7d1356332b1dd2bf5bf5ade46faeb5988b5a9e5e791cf516fe025c47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6675",
    "kind": "arxiv",
    "version": 2
  }
}