Pith Number

pith:CKO2APHT

pith:2018:CKO2APHT5FGGTGWZYPS2WPUQNH

not attested not anchored not stored refs pending

A short note on band projections in partially ordered vector spaces

Jochen Gl\"uck

arxiv:1807.01003 v1 · 2018-07-03 · 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{CKO2APHT5FGGTGWZYPS2WPUQNH}

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	2026-05-18T00:11:45.715203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

129da03cf3e94c699ad9c3e5ab3e9069d334f01465fa3d7ca12bfd126baee0e8

Aliases

arxiv: 1807.01003 · arxiv_version: 1807.01003v1 · doi: 10.48550/arxiv.1807.01003 · pith_short_12: CKO2APHT5FGG · pith_short_16: CKO2APHT5FGGTGWZ · pith_short_8: CKO2APHT

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/CKO2APHT5FGGTGWZYPS2WPUQNH \
  | 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: 129da03cf3e94c699ad9c3e5ab3e9069d334f01465fa3d7ca12bfd126baee0e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6005d22da482c65c810cb14bab04d856c347d062afb71ee617461320e5f864e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-03T07:44:09Z",
    "title_canon_sha256": "b272ce8e540c4dcef92bc27e7ed91321e434dc398c4e4f3af5552d075f160a31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01003",
    "kind": "arxiv",
    "version": 1
  }
}