Pith Number

pith:XMGPYPAC

pith:2012:XMGPYPACQGBUHHM74NTTFFKLJ4

not attested not anchored not stored refs pending

Applications of fixed point theorems in the theory of invariant subspaces

Miguel Lacruz, Rafa Esp\'inola

arxiv:1210.5557 v1 · 2012-10-19 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMGPYPACQGBUHHM74NTTFFKLJ4}

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	2026-05-18T03:42:43.655188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0cfc3c028183439d9fe36732954b4f3e8b286033f8dc65ddca903ee98ef1ca

Aliases

arxiv: 1210.5557 · arxiv_version: 1210.5557v1 · doi: 10.48550/arxiv.1210.5557 · pith_short_12: XMGPYPACQGBU · pith_short_16: XMGPYPACQGBUHHM7 · pith_short_8: XMGPYPAC

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/XMGPYPACQGBUHHM74NTTFFKLJ4 \
  | 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: bb0cfc3c028183439d9fe36732954b4f3e8b286033f8dc65ddca903ee98ef1ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c52666706f1f080cdd1ccbcac152240f623f053ea891f20803faa79209055c89",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-10-19T22:38:22Z",
    "title_canon_sha256": "993767f97755bd7ba75ca2bc9af0c68d551184cbb262006f94497b919e27c45e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5557",
    "kind": "arxiv",
    "version": 1
  }
}