Pith Number

pith:3VXCTYKY

pith:2009:3VXCTYKYBWIPC7CFWBHQBE7UZD

not attested not anchored not stored refs pending

A note on faithful traces on a von Neumann algebra

C. Trapani, F. Bagarello, S. Triolo

arxiv:0903.5469 v1 · 2009-03-31 · 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{3VXCTYKYBWIPC7CFWBHQBE7UZD}

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	2026-07-04T15:40:27.467467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd6e29e1580d90f17c45b04f0093f4c8cfe9bd11ac00c94db742c83028503b67

Aliases

arxiv: 0903.5469 · arxiv_version: 0903.5469v1 · doi: 10.48550/arxiv.0903.5469 · pith_short_12: 3VXCTYKYBWIP · pith_short_16: 3VXCTYKYBWIPC7CF · pith_short_8: 3VXCTYKY

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/3VXCTYKYBWIPC7CFWBHQBE7UZD \
  | 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: dd6e29e1580d90f17c45b04f0093f4c8cfe9bd11ac00c94db742c83028503b67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "985b716ad37029064b6fd64280793167e081d7f24e0a4f0471d56d4b44af30ce",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-03-31T13:39:27Z",
    "title_canon_sha256": "6ee0d104d83fec6508a906f8f1fefdd8b167c2b090cc1b6fecd86b5ad26d67d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5469",
    "kind": "arxiv",
    "version": 1
  }
}