Pith Number

pith:PEFL7VTI

pith:2011:PEFL7VTILGC6XQNTFLXBQA5PE4

not attested not anchored not stored refs pending

Local complementation and the extension of bilinear mappings

A. Defant, D. P\'erez-Garc\'ia, J.M.F. Castillo, J. Su\'arez, R. Garc\'ia

arxiv:1106.5089 v1 · 2011-06-25 · 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{PEFL7VTILGC6XQNTFLXBQA5PE4}

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	2026-05-18T02:01:30.806487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

790abfd6685985ebc1b32aee1803af271aad7c892da719a54fbd5b37a34f0cf0

Aliases

arxiv: 1106.5089 · arxiv_version: 1106.5089v1 · doi: 10.48550/arxiv.1106.5089 · pith_short_12: PEFL7VTILGC6 · pith_short_16: PEFL7VTILGC6XQNT · pith_short_8: PEFL7VTI

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/PEFL7VTILGC6XQNTFLXBQA5PE4 \
  | 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: 790abfd6685985ebc1b32aee1803af271aad7c892da719a54fbd5b37a34f0cf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822d42dd90e4a85c4a40f02f915e79bf562afacb51998a78804f2da15be2e7e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-06-25T01:17:51Z",
    "title_canon_sha256": "4119d6a8cac4b14f0ca85e223422e51771a405d59f4b39142f8fefbd8da3acd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5089",
    "kind": "arxiv",
    "version": 1
  }
}