Pith Number

pith:7CGRJTNG

pith:2014:7CGRJTNGS56XBNVJZMCHXMRYJQ

not attested not anchored not stored refs pending

Amalgamated direct sums of operator spaces

Mateusz Wasilewski

arxiv:1410.1189 v1 · 2014-10-05 · math.OA · 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{7CGRJTNGS56XBNVJZMCHXMRYJQ}

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	2026-05-18T01:10:54.625259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f88d14cda6977d70b6a9cb047bb2384c151d9de97f89489689e9e5e34ee4e6bb

Aliases

arxiv: 1410.1189 · arxiv_version: 1410.1189v1 · doi: 10.48550/arxiv.1410.1189 · pith_short_12: 7CGRJTNGS56X · pith_short_16: 7CGRJTNGS56XBNVJ · pith_short_8: 7CGRJTNG

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/7CGRJTNGS56XBNVJZMCHXMRYJQ \
  | 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: f88d14cda6977d70b6a9cb047bb2384c151d9de97f89489689e9e5e34ee4e6bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1e04f12340f6cf3514d562481eb94e3530bf0e430e8f5eee3e6cabdb7a0d4b0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-10-05T18:21:51Z",
    "title_canon_sha256": "69161a26f6591826f66f0368a1f0b5bba9850fa51f30ff1280513754e1a1fe5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1189",
    "kind": "arxiv",
    "version": 1
  }
}