Pith Number

pith:LSVLBCLN

pith:2013:LSVLBCLN6PKBNLQS64GXFWD4M7

not attested not anchored not stored refs pending

A decomposition theorem for positive maps, and the projection onto a spin factor

Erling St{\o}rmer

arxiv:1308.3332 v2 · 2013-08-15 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSVLBCLN6PKBNLQS64GXFWD4M7}

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	2026-05-18T03:15:44.789542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5caab0896df3d416ae12f70d72d87c67ec1e4d822b790f5ee1e4593275bcabae

Aliases

arxiv: 1308.3332 · arxiv_version: 1308.3332v2 · doi: 10.48550/arxiv.1308.3332 · pith_short_12: LSVLBCLN6PKB · pith_short_16: LSVLBCLN6PKBNLQS · pith_short_8: LSVLBCLN

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/LSVLBCLN6PKBNLQS64GXFWD4M7 \
  | 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: 5caab0896df3d416ae12f70d72d87c67ec1e4d822b790f5ee1e4593275bcabae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9293ce98d9c84ca71567802f485deeefc3940cc5041e152ae647e13592016887",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-15T08:02:55Z",
    "title_canon_sha256": "9609044171459df2832e94caa8607e110b7382885499adcd24733d0e9a9002fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3332",
    "kind": "arxiv",
    "version": 2
  }
}