Pith Number

pith:FTL5SNS6

pith:2013:FTL5SNS6V4PMBQCPDWJRJH6GKQ

not attested not anchored not stored refs pending

Closure of dilates of shift-invariant subspaces

Mois\'es Soto-Bajo

arxiv:1305.5396 v1 · 2013-05-23 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTL5SNS6V4PMBQCPDWJRJH6GKQ}

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	2026-05-18T03:25:04.902418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cd7d9365eaf1ec0c04f1d93149fc6540faf296817fd643d1daa183b9ca9aab3

Aliases

arxiv: 1305.5396 · arxiv_version: 1305.5396v1 · doi: 10.48550/arxiv.1305.5396 · pith_short_12: FTL5SNS6V4PM · pith_short_16: FTL5SNS6V4PMBQCP · pith_short_8: FTL5SNS6

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/FTL5SNS6V4PMBQCPDWJRJH6GKQ \
  | 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: 2cd7d9365eaf1ec0c04f1d93149fc6540faf296817fd643d1daa183b9ca9aab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e943c409b216055913c38260fcd934dfbca7b486a48d4529068f90cb7f59f15d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-23T12:43:06Z",
    "title_canon_sha256": "0201aa40684db7e40038133d0f1ab1032c73ab561fa8c4d6fb67a5a5861352bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5396",
    "kind": "arxiv",
    "version": 1
  }
}