Pith Number

pith:7HDDII6J

pith:2016:7HDDII6JM5NSMSTKADXWVO76MQ

not attested not anchored not stored refs pending

Banach spaces from a construction scheme

Fulgencio Lopez

arxiv:1602.01521 v2 · 2016-02-04 · math.LO · 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{7HDDII6JM5NSMSTKADXWVO76MQ}

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	2026-05-18T01:05:12.607771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9c63423c9675b264a6a00ef6abbfe64353d8916a5852306fc72ef6d0337086b

Aliases

arxiv: 1602.01521 · arxiv_version: 1602.01521v2 · doi: 10.48550/arxiv.1602.01521 · pith_short_12: 7HDDII6JM5NS · pith_short_16: 7HDDII6JM5NSMSTK · pith_short_8: 7HDDII6J

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/7HDDII6JM5NSMSTKADXWVO76MQ \
  | 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: f9c63423c9675b264a6a00ef6abbfe64353d8916a5852306fc72ef6d0337086b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d0f52a7db6453afcc3290e5674f8ed7e1d0e5c9361ad4166c0c12813b7b9f1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-02-04T01:04:30Z",
    "title_canon_sha256": "8e9ce338e4e5079efc7600c3db9b14b209649f24f061c098722e50bb1a053475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01521",
    "kind": "arxiv",
    "version": 2
  }
}