Pith Number

pith:CISRYN6S

pith:2015:CISRYN6SR4NTHWOXDQHBEWMVHL

not attested not anchored not stored refs pending

Subspaces with extra invariance nearest to observed data

Carlos Cabrelli, Carolina A. Mosquera

arxiv:1501.03187 v3 · 2015-01-13 · 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{CISRYN6SR4NTHWOXDQHBEWMVHL}

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	2026-05-17T23:56:48.908370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12251c37d28f1b33d9d71c0e1259953ac3fb02a766cfa93e3ee93f58289eacd5

Aliases

arxiv: 1501.03187 · arxiv_version: 1501.03187v3 · doi: 10.48550/arxiv.1501.03187 · pith_short_12: CISRYN6SR4NT · pith_short_16: CISRYN6SR4NTHWOX · pith_short_8: CISRYN6S

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/CISRYN6SR4NTHWOXDQHBEWMVHL \
  | 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: 12251c37d28f1b33d9d71c0e1259953ac3fb02a766cfa93e3ee93f58289eacd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "080aa865e68710152a464bcd629e349602f2599b079f5a621f3c632e7f5a4256",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-01-13T21:51:41Z",
    "title_canon_sha256": "d4812c77cedd144a01d9181374cacdd2404674b266fb74c1ea2fe41bbb43ec54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03187",
    "kind": "arxiv",
    "version": 3
  }
}