Pith Number

pith:KBJVCSVQ

pith:2019:KBJVCSVQTMJVWIU4OFKICYQ2IG

not attested not anchored not stored refs pending

Simple constructions of $\mathrm{FBL}(A)$ and $\mathrm{FBL}[E]$

V.G. Troitsky

arxiv:1901.07581 v1 · 2019-01-22 · 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{KBJVCSVQTMJVWIU4OFKICYQ2IG}

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	2026-05-17T23:55:42.096344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5053514ab09b135b229c715481621a418a0cbeef878ebd2aefb5e33eb2120a43

Aliases

arxiv: 1901.07581 · arxiv_version: 1901.07581v1 · doi: 10.48550/arxiv.1901.07581 · pith_short_12: KBJVCSVQTMJV · pith_short_16: KBJVCSVQTMJVWIU4 · pith_short_8: KBJVCSVQ

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/KBJVCSVQTMJVWIU4OFKICYQ2IG \
  | 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: 5053514ab09b135b229c715481621a418a0cbeef878ebd2aefb5e33eb2120a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09693178fc62fe2e93e216f28b2e4073359cc2d09fc448c39f03db320e0978fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-01-22T19:00:43Z",
    "title_canon_sha256": "b38e47948b4daa01dac225c993cb3c358fa2e8b1d446dcf40c9b7e0d34c5df49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07581",
    "kind": "arxiv",
    "version": 1
  }
}