Pith Number

pith:SWN5QJMB

pith:2014:SWN5QJMBTLCV2CYFF645PR7RTW

not attested not anchored not stored refs pending

Completion, closure, and density relative to a monad, with examples in functional analysis and sheaf theory

Rory B. B. Lucyshyn-Wright

arxiv:1406.2361 v1 · 2014-06-09 · math.CT · 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{SWN5QJMBTLCV2CYFF645PR7RTW}

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	2026-05-18T01:16:10.061296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

959bd825819ac55d0b052fb9d7c7f19d8c9126fe58afb03d8f753bc6daf60f66

Aliases

arxiv: 1406.2361 · arxiv_version: 1406.2361v1 · doi: 10.48550/arxiv.1406.2361 · pith_short_12: SWN5QJMBTLCV · pith_short_16: SWN5QJMBTLCV2CYF · pith_short_8: SWN5QJMB

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/SWN5QJMBTLCV2CYFF645PR7RTW \
  | 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: 959bd825819ac55d0b052fb9d7c7f19d8c9126fe58afb03d8f753bc6daf60f66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9fe37d39e9084f82844400d7b710b0cd2c2ea19239df2273467ec1b0d0ee4b8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-06-09T21:13:24Z",
    "title_canon_sha256": "cb70e52a32acacdd0dc8086ea5af46cebaf435a00bbd38d6fdad74d42300f762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2361",
    "kind": "arxiv",
    "version": 1
  }
}