Pith Number

pith:AL7FDHGA

pith:2015:AL7FDHGAJOCLY3F6YL7IJ3ECBW

not attested not anchored not stored refs pending

Hopfian $\ell$-groups, MV-algebras and AF C$^*$-algebras

Daniele Mundici

arxiv:1509.03230 v1 · 2015-09-10 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AL7FDHGAJOCLY3F6YL7IJ3ECBW}

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	2026-05-18T01:33:24.987812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02fe519cc04b84bc6cbec2fe84ec820d84fe2415ec38ec98787ab9ea4c4d9958

Aliases

arxiv: 1509.03230 · arxiv_version: 1509.03230v1 · doi: 10.48550/arxiv.1509.03230 · pith_short_12: AL7FDHGAJOCL · pith_short_16: AL7FDHGAJOCLY3F6 · pith_short_8: AL7FDHGA

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/AL7FDHGAJOCLY3F6YL7IJ3ECBW \
  | 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: 02fe519cc04b84bc6cbec2fe84ec820d84fe2415ec38ec98787ab9ea4c4d9958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2771a8bcc1db3397453711cf90e67ee0f9d9313ef63856e837681344cce99df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-09-10T16:59:09Z",
    "title_canon_sha256": "95a11b249d81609a8b03eb78b62fb86489963ce3db0a5b656d83e0db9d17bab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03230",
    "kind": "arxiv",
    "version": 1
  }
}