Pith Number

pith:MDZA3C47

pith:2013:MDZA3C47MCB24IHYGJJP2WIHZW

not attested not anchored not stored refs pending

Translation invariant pure state on $\clb=\otimes_{\IZ}M_d(\IC)$ and its split property

Anilesh Mohari

arxiv:1310.1886 v3 · 2013-10-07 · math.OA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDZA3C47MCB24IHYGJJP2WIHZW}

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	2026-05-18T02:20:18.495108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60f20d8b9f6083ae20f83252fd5907cdb66dcdbc7975a856cf633b50dceb9a03

Aliases

arxiv: 1310.1886 · arxiv_version: 1310.1886v3 · doi: 10.48550/arxiv.1310.1886 · pith_short_12: MDZA3C47MCB2 · pith_short_16: MDZA3C47MCB24IHY · pith_short_8: MDZA3C47

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/MDZA3C47MCB24IHYGJJP2WIHZW \
  | 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: 60f20d8b9f6083ae20f83252fd5907cdb66dcdbc7975a856cf633b50dceb9a03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb6c84eb7e2ab396833e9324574939d9a592e9cc39538442321f1619586a35dc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-10-07T18:46:33Z",
    "title_canon_sha256": "80939210d0d52f5c9e061a74e0c9b30f3c628a851a0299e4333f3d9a51594c43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1886",
    "kind": "arxiv",
    "version": 3
  }
}