Pith Number

pith:4MWHH2Z2

pith:2011:4MWHH2Z2MM6Y7Z6F4423N3LUCK

not attested not anchored not stored refs pending

A short return to simple AH-algebras with real rank zero

Huaxin Lin

arxiv:1109.2309 v1 · 2011-09-11 · 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{4MWHH2Z2MM6Y7Z6F4423N3LUCK}

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	2026-05-18T04:13:38.028525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e32c73eb3a633d8fe7c5e735b6ed74128bd86f9b0b766c89e705463f2e147abd

Aliases

arxiv: 1109.2309 · arxiv_version: 1109.2309v1 · doi: 10.48550/arxiv.1109.2309 · pith_short_12: 4MWHH2Z2MM6Y · pith_short_16: 4MWHH2Z2MM6Y7Z6F · pith_short_8: 4MWHH2Z2

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/4MWHH2Z2MM6Y7Z6F4423N3LUCK \
  | 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: e32c73eb3a633d8fe7c5e735b6ed74128bd86f9b0b766c89e705463f2e147abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11880ee3d1d678faa67707372215b81cc81a8dc2f2d925691a419f8e3557eb2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-09-11T13:05:48Z",
    "title_canon_sha256": "04e79a4083b0efb77739b1b80cab4b44cc33b6b652d67a806b775e2b80ea1025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2309",
    "kind": "arxiv",
    "version": 1
  }
}