Pith Number

pith:OHUC35WQ

pith:2012:OHUC35WQU6DL2UEFNVNQTT4WVU

not attested not anchored not stored refs pending

Representation of Generalized Bi-Circular Projections on Banach Spaces

A. B. Abubaker, Fernanda Botelho, James Jamison

arxiv:1208.2012 v2 · 2012-08-09 · 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{OHUC35WQU6DL2UEFNVNQTT4WVU}

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	2026-05-18T03:41:43.722735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71e82df6d0a786bd50856d5b09cf96ad11d2731ecc4a8b65f4e1e980ee911d64

Aliases

arxiv: 1208.2012 · arxiv_version: 1208.2012v2 · doi: 10.48550/arxiv.1208.2012 · pith_short_12: OHUC35WQU6DL · pith_short_16: OHUC35WQU6DL2UEF · pith_short_8: OHUC35WQ

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/OHUC35WQU6DL2UEFNVNQTT4WVU \
  | 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: 71e82df6d0a786bd50856d5b09cf96ad11d2731ecc4a8b65f4e1e980ee911d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8f64c15fdd07113d2ef66718d0a9018d430164ab3722c85620aa6cf050a112f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-09T19:22:39Z",
    "title_canon_sha256": "54acc9c655aba715bf69934f66a35e2aaffd6bdf858ce4350bf54b7d357daa61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2012",
    "kind": "arxiv",
    "version": 2
  }
}