Pith Number

pith:GMPKR4XQ

pith:2014:GMPKR4XQW3EE4RGIPT7KL54U5G

not attested not anchored not stored refs pending

Subalgebras of finite codimension in semiprojective C*-algebras

Dominic Enders

arxiv:1405.2750 v1 · 2014-05-12 · 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{GMPKR4XQW3EE4RGIPT7KL54U5G}

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	2026-05-18T02:52:04.844712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

331ea8f2f0b6c84e44c87cfea5f794e9b88d92298f9503541b09c9bfddac3c88

Aliases

arxiv: 1405.2750 · arxiv_version: 1405.2750v1 · doi: 10.48550/arxiv.1405.2750 · pith_short_12: GMPKR4XQW3EE · pith_short_16: GMPKR4XQW3EE4RGI · pith_short_8: GMPKR4XQ

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/GMPKR4XQW3EE4RGIPT7KL54U5G \
  | 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: 331ea8f2f0b6c84e44c87cfea5f794e9b88d92298f9503541b09c9bfddac3c88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "690d2ce9b521da764d8248cfc5bffa3efc3e4723d35613216f71e6f20503b30d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-05-12T13:36:49Z",
    "title_canon_sha256": "b4df388e79c34994cb974f68927b18ded49cae5e52b2d981a2a29a1a2f034285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2750",
    "kind": "arxiv",
    "version": 1
  }
}