Pith Number

pith:5K3LGJZ3

pith:2017:5K3LGJZ3NE4RKNN62S72HHCP5Y

not attested not anchored not stored refs pending

Banach spaces of almost universal complemented disposition

Jes\'us M. F. Castillo, Yolanda Moreno

arxiv:1708.02431 v3 · 2017-08-08 · 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{5K3LGJZ3NE4RKNN62S72HHCP5Y}

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	2026-05-17T23:43:18.530140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eab6b3273b69391535bed4bfa39c4fee10aaa71c43d13971a04ef4366ecfb3cf

Aliases

arxiv: 1708.02431 · arxiv_version: 1708.02431v3 · doi: 10.48550/arxiv.1708.02431 · pith_short_12: 5K3LGJZ3NE4R · pith_short_16: 5K3LGJZ3NE4RKNN6 · pith_short_8: 5K3LGJZ3

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/5K3LGJZ3NE4RKNN62S72HHCP5Y \
  | 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: eab6b3273b69391535bed4bfa39c4fee10aaa71c43d13971a04ef4366ecfb3cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fb77a7452f6c65f9d34b94107fabd33b3b6a01435a3f34f1d068936a5456ae0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-08T09:43:21Z",
    "title_canon_sha256": "267bcc657c6c8318e4682329a3c5f3c8b408c6f6c2fcba913d4d230db6c037e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02431",
    "kind": "arxiv",
    "version": 3
  }
}