Pith Number

pith:V4OUMZNA

pith:2011:V4OUMZNA6UYV2RPD3OXYMU3E5L

not attested not anchored not stored refs pending

Dualizability and index of subfactors

Andr\'e Henriques, Arthur Bartels, Christopher L. Douglas

arxiv:1110.5671 v2 · 2011-10-25 · 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{V4OUMZNA6UYV2RPD3OXYMU3E5L}

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	2026-05-18T00:52:29.544151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af1d4665a0f5315d45e3dbaf865364eae410235b2f6b693cc148f022fcfec52e

Aliases

arxiv: 1110.5671 · arxiv_version: 1110.5671v2 · doi: 10.48550/arxiv.1110.5671 · pith_short_12: V4OUMZNA6UYV · pith_short_16: V4OUMZNA6UYV2RPD · pith_short_8: V4OUMZNA

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/V4OUMZNA6UYV2RPD3OXYMU3E5L \
  | 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: af1d4665a0f5315d45e3dbaf865364eae410235b2f6b693cc148f022fcfec52e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a37cf852b01c32ac637ae553199d500d40e4fab5a881c466b65cb9567bc8d1d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-10-25T21:39:57Z",
    "title_canon_sha256": "3ed6f1a4b2f36917bd748df07c90db728cf1a2e9d2bcb23a45f3c5c91d06b69f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5671",
    "kind": "arxiv",
    "version": 2
  }
}