Pith Number

pith:LF5FIDBW

pith:2021:LF5FIDBWZ42VX6ZXU6BSO3UF7E

not attested not anchored not stored refs pending

The hitchhiker guide to Categorical Banach space theory. Part II

Jes\'us M. F. Castillo

arxiv:2110.06300 v1 · 2021-10-12 · 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{LF5FIDBWZ42VX6ZXU6BSO3UF7E}

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	2026-07-05T03:22:13.318228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

597a540c36cf355bfb37a783276e85f9279ede0b0b82838eac8b059b1417742b

Aliases

arxiv: 2110.06300 · arxiv_version: 2110.06300v1 · doi: 10.48550/arxiv.2110.06300 · pith_short_12: LF5FIDBWZ42V · pith_short_16: LF5FIDBWZ42VX6ZX · pith_short_8: LF5FIDBW

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/LF5FIDBWZ42VX6ZXU6BSO3UF7E \
  | 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: 597a540c36cf355bfb37a783276e85f9279ede0b0b82838eac8b059b1417742b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e03ef05b7cbbc9c7ba15a5b4a02bbfda0bc5e657564e60d1764afeeaac81991",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-10-12T19:32:02Z",
    "title_canon_sha256": "786c9ab0bf5cc2ca554f71a0ef65cabbaade23a78d13d61ade10aa980c8a600c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.06300",
    "kind": "arxiv",
    "version": 1
  }
}