Pith Number

pith:FS77ZZOD

pith:2012:FS77ZZODEOVALZD5CYKR53BIHU

not attested not anchored not stored refs pending

Weak Exactness for C*-algebras and Application to Condition (AO)

Yusuke Isono

arxiv:1206.0388 v1 · 2012-06-02 · 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{FS77ZZODEOVALZD5CYKR53BIHU}

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	2026-05-18T03:01:11.236534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cbffce5c323aa05e47d16151eec283d382a5b95bd7263c675dcf28e3d40f6f5

Aliases

arxiv: 1206.0388 · arxiv_version: 1206.0388v1 · doi: 10.48550/arxiv.1206.0388 · pith_short_12: FS77ZZODEOVA · pith_short_16: FS77ZZODEOVALZD5 · pith_short_8: FS77ZZOD

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/FS77ZZODEOVALZD5CYKR53BIHU \
  | 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: 2cbffce5c323aa05e47d16151eec283d382a5b95bd7263c675dcf28e3d40f6f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a3645d6ef94f0e0ff0cd39ccc1df8d48488f6606bf0e46a8c5b8d82be28677d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-06-02T15:01:22Z",
    "title_canon_sha256": "630f61d7744423d24112cb80f6f2b70c6812b1bcc34b69a955707806888fdb58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0388",
    "kind": "arxiv",
    "version": 1
  }
}