Pith Number

pith:GMQHZF25

pith:2014:GMQHZF25BCS6OKU6EJM4TP4BFK

not attested not anchored not stored refs pending

Operator-Valued Kirchberg Theory

Jian Liang, Sepideh Rezvani

arxiv:1410.5379 v1 · 2014-10-20 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMQHZF25BCS6OKU6EJM4TP4BFK}

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	2026-05-18T02:39:46.191401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33207c975d08a5e72a9e2259c9bf812a9e7b974c2fa8de7d2d6b98ee4ba2b36e

Aliases

arxiv: 1410.5379 · arxiv_version: 1410.5379v1 · doi: 10.48550/arxiv.1410.5379 · pith_short_12: GMQHZF25BCS6 · pith_short_16: GMQHZF25BCS6OKU6 · pith_short_8: GMQHZF25

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/GMQHZF25BCS6OKU6EJM4TP4BFK \
  | 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: 33207c975d08a5e72a9e2259c9bf812a9e7b974c2fa8de7d2d6b98ee4ba2b36e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bd7b1f5e8b1d71b5543ba5d125715cf0374983a9e1f62ca412dc2ff6141a2b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-10-20T18:09:45Z",
    "title_canon_sha256": "2c86e2ff30954b70c5aa8b2304450e3a83a789e42664d256ae988591604db160"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5379",
    "kind": "arxiv",
    "version": 1
  }
}