Pith Number

pith:RNEFI4ZZ

pith:2013:RNEFI4ZZNVMG5ZQCGR6MSFTXGA

not attested not anchored not stored refs pending

Semicontinuity and closed faces of C*-algebras

Lawrence G. Brown

arxiv:1312.3624 v2 · 2013-12-12 · 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{RNEFI4ZZNVMG5ZQCGR6MSFTXGA}

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	2026-05-18T00:42:49.257573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b485473396d586ee602347cc916773038e761ee8c57bd73fe56441501a74d86

Aliases

arxiv: 1312.3624 · arxiv_version: 1312.3624v2 · doi: 10.48550/arxiv.1312.3624 · pith_short_12: RNEFI4ZZNVMG · pith_short_16: RNEFI4ZZNVMG5ZQC · pith_short_8: RNEFI4ZZ

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/RNEFI4ZZNVMG5ZQCGR6MSFTXGA \
  | 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: 8b485473396d586ee602347cc916773038e761ee8c57bd73fe56441501a74d86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35c5660c5008904c5fc3bcae1a116a5658068932c2c1a2e251c0f67268b0720a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-12-12T20:52:36Z",
    "title_canon_sha256": "4db714d9e4a96a9ab6ab24930b644d7d4090a8a84b37e5252c9f76347e34f5eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3624",
    "kind": "arxiv",
    "version": 2
  }
}